{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "<small>\n",
    "Copyright (c) 2017 Andrew Glassner\n",
    "\n",
    "Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
    "\n",
    "The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
    "\n",
    "THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.\n",
    "</small>\n",
    "\n",
    "\n",
    "\n",
    "# Deep Learning From Basics to Practice\n",
    "## by Andrew Glassner, https://dlbasics.com, http://glassner.com\n",
    "------\n",
    "## Chapter 6: Information Theory\n",
    "### Miscellaneous images\n",
    "\n",
    "This notebook is provided as a “behind-the-scenes” look at code used to make some of the figures in this chapter. It is still in the hacked-together form used to develop the figures, and is only lightly commented."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "import numpy as np\n",
    "import string\n",
    "from collections import Counter\n",
    "import operator\n",
    "\n",
    "import nltk # NLTK may need to be installed. See www.nltk.org\n",
    "from nltk.tokenize import RegexpTokenizer\n",
    "from nltk.probability import FreqDist\n",
    "\n",
    "import seaborn as sns ; sns.set()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "matplotlib.rcParams['axes.titlesize'] = 14\n",
    "matplotlib.rcParams['axes.labelsize'] = 14\n",
    "matplotlib.rcParams['axes.labelpad'] = 8\n",
    "matplotlib.rcParams['xtick.labelsize'] = 14\n",
    "matplotlib.rcParams['ytick.labelsize'] = 12"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Library/Frameworks/Python.framework/Versions/3.5/lib/python3.5/site-packages/h5py/__init__.py:34: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n",
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "# Make a File_Helper for saving and loading files.\n",
    "\n",
    "save_files = True\n",
    "\n",
    "import os, sys, inspect\n",
    "current_dir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n",
    "sys.path.insert(0, os.path.dirname(current_dir)) # path to parent dir\n",
    "from DLBasics_Utilities import File_Helper\n",
    "file_helper = File_Helper(save_files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "Don_Quixote_path = file_helper.get_input_file_path('don-quixote.txt')\n",
    "Huckleberry_Finn_path = file_helper.get_input_file_path('huckleberry-finn.txt')\n",
    "Tale_of_Two_Cities_path = file_helper.get_input_file_path('tale-of-two-cities.txt')\n",
    "Treasure_Island_path = file_helper.get_input_file_path('treasure-island.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_book_text(filename):\n",
    "    with open(filename, 'r') as myfile:\n",
    "        text = myfile.read()\n",
    "    exclude_punc = set(string.punctuation)\n",
    "    exclude_digits = set(string.digits)\n",
    "    exclude_symbols = '”“‘—°'\n",
    "    \n",
    "    text = text.replace('\\n', '')\n",
    "    text = text.replace(\"'\", \"\")\n",
    "    text = text.replace(\"’\", \"\")\n",
    "    text = ''.join(ch for ch in text if ch not in exclude_punc)\n",
    "    text = ''.join(ch for ch in text if ch not in exclude_digits)\n",
    "    text = ''.join(ch for ch in text if ch not in exclude_symbols)\n",
    "    text = text.lower()        \n",
    "    return text"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_book_chars(filename):\n",
    "    text = get_book_text(filename)\n",
    "    text = text.replace(\" \", \"\")\n",
    "    return text"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_book_freq_dist(filename):\n",
    "    text = get_book_text(filename)     \n",
    "    tokenizer = RegexpTokenizer(r'\\w+')\n",
    "    tokens = tokenizer.tokenize(text)\n",
    "    freq_dist = FreqDist(tokens)\n",
    "    return freq_dist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_top_words(num_words, fdist, book_name, filename):\n",
    "    top = fdist.most_common(num_words)\n",
    "    top_words = [v[0] for v in top]\n",
    "    top_counts = [v[1] for v in top]\n",
    "    plt.barh(range(num_words), top_counts, align='center')\n",
    "    plt.yticks(range(num_words), top_words)\n",
    "    plt.xlabel('Times Used')\n",
    "    plt.ylabel('Word')\n",
    "    plt.title('Most Frequent '+str(num_words)+' Words in '+book_name)\n",
    "    plt.ylim(-1,num_words)\n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def plot_top_chars(char_counts, book_name, filename, make_pdf=False):\n",
    "    chars = [v[0] for v in char_counts]\n",
    "    counts = [v[1] for v in char_counts]\n",
    "    if make_pdf:\n",
    "        count_sum = np.sum(counts)\n",
    "        counts = [c/count_sum for c in counts]\n",
    "    plt.barh(range(len(counts)), counts, align='center')\n",
    "    plt.yticks(range(len(chars)), chars)\n",
    "    if make_pdf:\n",
    "        plt.xlabel('Relative Frequency')\n",
    "        plt.title('Character Usage in '+book_name)\n",
    "    else:\n",
    "        plt.xlabel('Times Used')\n",
    "        plt.title('Character Counts in '+book_name)\n",
    "    plt.ylabel('Character')\n",
    "    plt.ylim(-1,len(chars))\n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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SWAY//vgjdDod/P39kZGRYfD6K7hWo+D1p9VqcerUKaMzumlpafqz8AXTMpZXXgCMjkHO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\niIiIiNhEYVtERERExCbfAMwPtHwcn6v0AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117b73d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "TI_freq_dist = get_book_freq_dist(Treasure_Island_path)\n",
    "plot_top_words(25, TI_freq_dist, 'Treasure Island', 'top-25-words-Treasure-Island')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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nIzMzFwUFWrFDKVbu7h4wNzcXOwwiIiKiMq3UF9zLly+HQvG/ycqf/X9pMThi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\nzQKrOxVjAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1219efbe0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "HF_freq_dist = get_book_freq_dist(Huckleberry_Finn_path)\n",
    "plot_top_words(25, HF_freq_dist, 'Huckleberrry Finn', 'top-25-words-Huckleberry-Finn')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2TPF3JiIiIiKv59XD8+LJ8Xe9QzYG4eERsmYiIiIiIvflMcNz9+7d0b1791I9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\n5pmIiIiIyEpsnomIiIiIrPT/kIW/l1RXo3cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x121c1d7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "TI_chars = get_book_chars(Treasure_Island_path)\n",
    "TI_counter = Counter(TI_chars)\n",
    "TI_char_counts = sorted(TI_counter.items(), key=operator.itemgetter(1))\n",
    "TI_char_counts = list(reversed(TI_char_counts))\n",
    "plot_top_chars(TI_char_counts, 'Treasure Island', 'char-counts-Treasure-Island')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XX3/FuXPnzJZJPGvGjBnIysrCxIkTzQbVZ/8jVJQFCxZgxYoVqFmzJkJDQ9GsWTP8/e9/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\n2YjNMxERERGRjf4fTvyGBcJNSaoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x121c742b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "HF_chars = get_book_chars(Huckleberry_Finn_path)\n",
    "HF_counter = Counter(HF_chars)\n",
    "HF_char_counts = sorted(HF_counter.items(), key=operator.itemgetter(1))\n",
    "HF_char_counts = list(reversed(HF_char_counts))\n",
    "plot_top_chars(HF_char_counts, 'Huckleberry Finn', 'char-counts-Huckleberry-Finn')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1uuDPsmq1GqtXr8aJEyeQlpaGixcv4s6dO5AkCR4eHqb9Ll68iBdeeKHAr6W1Wi18fX0f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\nYwUVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x121cb65c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "TI_chars = get_book_chars(Treasure_Island_path)\n",
    "TI_counter = Counter(TI_chars)\n",
    "TI_char_counts = sorted(TI_counter.items(), key=operator.itemgetter(1))\n",
    "TI_char_counts = list(reversed(TI_char_counts))\n",
    "plot_top_chars(TI_char_counts, 'Treasure Island (pdf)', 'char-counts-Treasure-Island-pdf', True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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hIaHA8xcuXLB1SURERERUDiiyOY6KikJUVJTUZRARERFROaPI5tha0lOTH/8t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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x121cfdcc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "HF_chars = get_book_chars(Huckleberry_Finn_path)\n",
    "HF_counter = Counter(HF_chars)\n",
    "HF_char_counts = sorted(HF_counter.items(), key=operator.itemgetter(1))\n",
    "HF_char_counts = list(reversed(HF_char_counts))\n",
    "plot_top_chars(HF_char_counts, 'Huckleberry Finn (pdf)', 'char-counts-Huckleberry-Finn-pdf', True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Huffman coding adapted from https://rosettacode.org/wiki/Huffman_coding\n",
    "def build_dictionary(uncompressed):\n",
    "    dict_seed = 'abcdefghijklmnopqrstuvwxyz0123456789 '\n",
    "    dict_size = len(dict_seed)\n",
    "    dictionary = {dict_seed[i]: i for i in range(len(dict_seed))}\n",
    " \n",
    "    w = \"\"\n",
    "    for c in uncompressed:\n",
    "        wc = w + c\n",
    "        if wc in dictionary:\n",
    "            w = wc\n",
    "        else:\n",
    "            dictionary[wc] = dict_size\n",
    "            dict_size += 1\n",
    "            w = c\n",
    " \n",
    "    return dictionary\n",
    "\n",
    "def compress_from_dictionary(uncompressed, dictionary):\n",
    "    w = \"\"\n",
    "    result = []\n",
    "    for c in uncompressed:\n",
    "        if c == '': continue\n",
    "        wc = w + c\n",
    "        if wc in dictionary:\n",
    "            w = wc\n",
    "        else:\n",
    "            if w in dictionary:\n",
    "                result.append(dictionary[w])\n",
    "            w = c\n",
    "    if w:\n",
    "        result.append(dictionary[w])\n",
    "    return result\n",
    "\n",
    "def decompress_from_dictionary(compressed, dictionary):\n",
    "    idict = {}\n",
    "    for key, val in dictionary.items():\n",
    "        if val in idict:\n",
    "            print(\"Hey! \",val,\" is already in idict\")\n",
    "        idict[val] = key\n",
    "    result = \"\"\n",
    "    for code_num in compressed:\n",
    "        next_token = '?'\n",
    "        if code_num in idict:\n",
    "            next_token = idict[code_num]\n",
    "        result += next_token\n",
    "    return result\n",
    "\n",
    "def get_compression_stats(text, dictionary):\n",
    "    compressed = compress_from_dictionary(text, dictionary)\n",
    "    bit_count = 0\n",
    "    for v in compressed:\n",
    "        bit_count += len(bin(v))-2  # remove the '0b' at start of string\n",
    "    return (compressed, bit_count)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_TI_and_HF():\n",
    "    \n",
    "    fontsize = 16\n",
    "\n",
    "    TI_text = get_book_text(Treasure_Island_path)\n",
    "    HF_text = get_book_text(Huckleberry_Finn_path)\n",
    "    TI_dict = build_dictionary(TI_text)\n",
    "    HF_dict = build_dictionary(HF_text)\n",
    "    TI_factor = 1.0 / (5 * len(TI_text))\n",
    "    HF_factor = 1.0 / (5 * len(HF_text))\n",
    "    \n",
    "    TI_bits_TI_dict = TI_factor * get_compression_stats(TI_text, TI_dict)[1]     \n",
    "    TI_bits_HF_dict = TI_factor * get_compression_stats(TI_text, HF_dict)[1]\n",
    "    HF_bits_TI_dict = HF_factor * get_compression_stats(HF_text, TI_dict)[1]\n",
    "    HF_bits_HF_dict = HF_factor * get_compression_stats(HF_text, HF_dict)[1]\n",
    "    \n",
    "    plt.figure(figsize=(10,3))\n",
    "    plt.barh([0,1], [TI_bits_TI_dict, TI_bits_HF_dict], height=0.6, align='center')\n",
    "    plt.yticks([0,1], ['Treasure Island', 'Huckleberry Finn'], fontsize=fontsize)\n",
    "    plt.ylabel('Book Used to Make Code', fontsize=fontsize)\n",
    "    plt.xlabel('Compression Ratio', fontsize=fontsize)\n",
    "    plt.title('Encoding of Treasure Island', fontsize=fontsize)\n",
    "    file_helper.save_figure('TI-vs-HF')\n",
    "    plt.show()\n",
    "    \n",
    "    \n",
    "    plt.figure(figsize=(10,3))\n",
    "    plt.barh([0,1], [HF_bits_TI_dict, HF_bits_HF_dict], height=0.6, align='center')\n",
    "    plt.yticks([0,1], ['Treasure Island', 'Huckleberry Finn'], fontsize=fontsize)\n",
    "    plt.ylabel('Book Used to Make Code', fontsize=fontsize)\n",
    "    plt.xlabel('Compression Ratio', fontsize=fontsize)\n",
    "    plt.title('Encoding of Huckleberry Finn', fontsize=fontsize)\n",
    "    file_helper.save_figure('HF-vs-TI')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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PBdbZuHGjtm3bppCQEKeDAwAAAAAAjnMqyR8+fLgMw9CYMWP0xhtv6Ndff9Wf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\niIiIiCoJFvlERERERERElcT/A4pdSa6CectZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x121d191d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kt23bVvHx8Zo0aZJNj9/Hx8dr/PjxkqRXXnklXQEBAAAAAIBtbCrya9eurYCA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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x121cc8978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_TI_and_HF()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def plot_efficiencies():\n",
    "    fontsize = 16\n",
    "    \n",
    "    TI_text = get_book_text(Treasure_Island_path)\n",
    "    HF_text = get_book_text(Huckleberry_Finn_path)\n",
    "    TC_text = get_book_text(Tale_of_Two_Cities_path)\n",
    "    DQ_text = get_book_text(Don_Quixote_path)\n",
    "\n",
    "    TI_dict = build_dictionary(TI_text)\n",
    "    HF_dict = build_dictionary(HF_text)\n",
    "    TC_dict = build_dictionary(TC_text)\n",
    "    DQ_dict = build_dictionary(DQ_text)\n",
    "    \n",
    "    TI_factor = 1.0 / (5 * len(TI_text))\n",
    "    HF_factor = 1.0 / (5 * len(HF_text))\n",
    "    TC_factor = 1.0 / (5 * len(TC_text))\n",
    "    DQ_factor = 1.0 / (5 * len(DQ_text))\n",
    "    \n",
    "    TI_bits_TI_dict = TI_factor * get_compression_stats(TI_text, TI_dict)[1]     \n",
    "    TI_bits_HF_dict = TI_factor * get_compression_stats(TI_text, HF_dict)[1]\n",
    "    TI_bits_TC_dict = TI_factor * get_compression_stats(TI_text, TC_dict)[1]\n",
    "    TI_bits_DQ_dict = TI_factor * get_compression_stats(TI_text, DQ_dict)[1]\n",
    "    \n",
    "    HF_bits_TI_dict = HF_factor * get_compression_stats(HF_text, TI_dict)[1]\n",
    "    HF_bits_HF_dict = HF_factor * get_compression_stats(HF_text, HF_dict)[1]\n",
    "    HF_bits_TC_dict = HF_factor * get_compression_stats(HF_text, TC_dict)[1]\n",
    "    HF_bits_DQ_dict = HF_factor * get_compression_stats(HF_text, DQ_dict)[1]\n",
    "    \n",
    "    TC_bits_TI_dict = TC_factor * get_compression_stats(TC_text, TI_dict)[1]\n",
    "    TC_bits_HF_dict = TC_factor * get_compression_stats(TC_text, HF_dict)[1]\n",
    "    TC_bits_TC_dict = TC_factor * get_compression_stats(TC_text, TC_dict)[1]\n",
    "    TC_bits_DQ_dict = TC_factor * get_compression_stats(TC_text, DQ_dict)[1]\n",
    "    \n",
    "    DQ_bits_TI_dict = DQ_factor * get_compression_stats(DQ_text, TI_dict)[1]\n",
    "    DQ_bits_HF_dict = DQ_factor * get_compression_stats(DQ_text, HF_dict)[1]\n",
    "    DQ_bits_TC_dict = DQ_factor * get_compression_stats(DQ_text, TC_dict)[1]\n",
    "    DQ_bits_DQ_dict = DQ_factor * get_compression_stats(DQ_text, DQ_dict)[1]\n",
    "    \n",
    "    plt.figure(figsize=(10,3))\n",
    "    plt.barh([0,1,2,3], [TI_bits_TI_dict, TI_bits_HF_dict, TI_bits_TC_dict, TI_bits_DQ_dict], height=0.6, align='center')\n",
    "    plt.xticks([0,.1,.2,.3,.4,.5,.6],[0,.1,.2,.3,.4,.5,.6])\n",
    "    plt.yticks([0,1,2,3], ['Treasure Island', 'Huckleberry Finn', 'A Tale of Two Cities', 'Don Quixote'], fontsize=fontsize)\n",
    "    plt.ylabel('Book Used to Make Code', fontsize=fontsize)\n",
    "    plt.xlabel('Compression Ratio', fontsize=fontsize)\n",
    "    plt.title('Encoding of Treasure Island', fontsize=fontsize)\n",
    "    filename = 'encoding-efficiency-Treasure-Island'\n",
    "    file_helper.save_figure(filename)\n",
    "    plt.show()\n",
    "    \n",
    "    plt.figure(figsize=(10,6))\n",
    "    \n",
    "    plt.subplot(1, 3, 1)\n",
    "    plt.bar([0,1,2,3], [HF_bits_TI_dict, HF_bits_HF_dict, HF_bits_TC_dict, HF_bits_DQ_dict], width=0.6, align='center')\n",
    "    plt.xticks([0,1,2,3], ['Treasure Island', 'Huckleberry Finn', 'A Tale of Two Cities', 'Don Quixote'], rotation=-90, fontsize=fontsize)\n",
    "    plt.yticks([0,.1,.2,.3,.4,.5,.6],[0,.1,.2,.3,.4,.5,.6])\n",
    "    plt.xlabel('Book Used to Make Code', fontsize=fontsize)\n",
    "    plt.ylabel('Compression Ratio', fontsize=fontsize)\n",
    "    plt.title('Encoding of Huckleberry Finn', fontsize=fontsize, y=1.08)\n",
    "    \n",
    "    plt.subplot(1, 3, 2)\n",
    "    plt.bar([0,1,2,3], [TC_bits_TI_dict, TC_bits_HF_dict, TC_bits_TC_dict, TC_bits_DQ_dict], width=0.6, align='center')\n",
    "    plt.xticks([0,1,2,3], ['Treasure Island', 'Huckleberry Finn', 'A Tale of Two Cities', 'Don Quixote'], rotation=-90, fontsize=fontsize)\n",
    "    plt.yticks([0,.1,.2,.3,.4,.5,.6],[0,.1,.2,.3,.4,.5,.6])\n",
    "    plt.xlabel('Book Used to Make Code', fontsize=fontsize)\n",
    "    plt.ylabel('Compression Ratio', fontsize=fontsize)\n",
    "    plt.title('Encoding of A Tale of Two Cities', fontsize=fontsize, y=1.08)\n",
    "    \n",
    "    plt.subplot(1, 3, 3)\n",
    "    plt.bar([0,1,2,3], [DQ_bits_TI_dict, DQ_bits_HF_dict, DQ_bits_TC_dict, DQ_bits_DQ_dict], width=0.6, align='center')\n",
    "    plt.xticks([0,1,2,3], ['Treasure Island', 'Huckleberry Finn', 'A Tale of Two Cities', 'Don Quixote'], rotation=-90, fontsize=fontsize)\n",
    "    plt.yticks([0,.1,.2,.3,.4,.5,.6],[0,.1,.2,.3,.4,.5,.6])\n",
    "    plt.xlabel('Book Used to Make Code', fontsize=fontsize)\n",
    "    plt.ylabel('Compression Ratio', fontsize=fontsize)\n",
    "    plt.title('Encoding of Don Quixote', fontsize=fontsize, y=1.08)\n",
    "    \n",
    "    plt.tight_layout()\n",
    "    file_helper.save_figure(\"encoding-efficiency-other-books\")\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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hTJs2DWPGjKnCKIsXGRmJb775Bk+ePIGuri6sra1hZWWFlJQU3Lp1C6Ghodi2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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x121fb61d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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nzp2VxmuyXzX92yHf/61bt87z2/V5ZV9eik0DXFP29va4f/8+Hj9+rPZx1717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KAAAg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\nuAFOREREREREpAP/D1c1fkmBdjHXAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x126cb8198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_efficiencies()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def compute_KL_Divergences():\n",
    "    TI_freq_dist = get_book_freq_dist(Treasure_Island_path)\n",
    "    HF_freq_dist = get_book_freq_dist(Huckleberry_Finn_path)\n",
    "\n",
    "    # normalize the frequency distributions so they're pmfs\n",
    "    TI_word_total = 0\n",
    "    for key in TI_freq_dist.keys():\n",
    "        TI_word_total += TI_freq_dist[key]\n",
    "    for key in TI_freq_dist.keys():\n",
    "        TI_freq_dist[key] /= TI_word_total\n",
    "\n",
    "    HF_word_total = 0\n",
    "    for key in HF_freq_dist.keys():\n",
    "        HF_word_total += HF_freq_dist[key]\n",
    "    for key in HF_freq_dist.keys():\n",
    "        HF_freq_dist[key] /= HF_word_total\n",
    "        \n",
    "        \n",
    "    num_words = 25\n",
    "    bar_height = 0.35\n",
    "    TI_top = TI_freq_dist.most_common(num_words)\n",
    "    TI_top_words = [v[0] for v in TI_top]\n",
    "    TI_top_counts = [v[1] for v in TI_top]\n",
    "    HF_top_counts = [HF_freq_dist[w] for w in TI_top_words]\n",
    "    indices = list(range(num_words))\n",
    "    indices2 = [i+bar_height for i in indices]\n",
    "    plt.barh(indices, TI_top_counts, height=bar_height, color='#D15D49', align='center', label='Treasure Island')  # red\n",
    "    plt.barh(indices2, HF_top_counts, height=bar_height, color='#5386C2', align='center', label='Huckleberry Finn') # blue\n",
    "    plt.yticks(indices, TI_top_words)\n",
    "    plt.xlabel('Probability of Word')\n",
    "    plt.ylabel('Word')\n",
    "    plt.title('Probability of Words')\n",
    "    plt.ylim(-1,num_words)\n",
    "    plt.legend(loc='upper right')\n",
    "    file_helper.save_figure('Treasure-Island-words-pmf')\n",
    "    plt.show()        \n",
    "\n",
    "    # Find KL(TI||HF)\n",
    "    KL_TI_HF = 0\n",
    "    for key in TI_freq_dist.keys():\n",
    "        if key in HF_freq_dist:\n",
    "            TI_val = TI_freq_dist[key]\n",
    "            HF_val = HF_freq_dist[key]\n",
    "            if (TI_val != 0) and (HF_val != 0):\n",
    "                val = TI_freq_dist[key] * (math.log(TI_freq_dist[key],2) - math.log(HF_freq_dist[key],2))\n",
    "            KL_TI_HF += val\n",
    "\n",
    "    # Find KL(HF||TI)\n",
    "    KL_HF_TI = 0\n",
    "    for key in HF_freq_dist.keys():\n",
    "        if key in TI_freq_dist:\n",
    "            HF_val = HF_freq_dist[key]\n",
    "            TI_val = TI_freq_dist[key]\n",
    "            if (HF_val != 0) and (TI_val != 0):\n",
    "                val = HF_freq_dist[key] * (math.log(HF_freq_dist[key],2) - math.log(TI_freq_dist[key],2))\n",
    "            KL_HF_TI += val\n",
    "\n",
    "    print(\"KL Divergence (Treasure Island || Huckleberry Finn) = \",KL_TI_HF)\n",
    "    print(\"KL Divergence (Huckleberry Finn || Treasure Island) = \",KL_HF_TI)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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t2jRcvXoVU6dOLfNCM5lpSWo+24qVmZaE69dL93RzVZlthIiIiEjdRF9gJyYm\nIj09HX5+fnBxcQEA1K9fHzt27EB2djbu3buH0aNH4/PPP1ceU6tWLfTt2xfnz59Hjx49irS5atUq\nODs7Y+HChQAAL6+CuReXLl1aptjcbuyAXarxu56aRpjvN8ajg2/+4CIxIwuYu4JPeRMRERG9A9EX\n2I0aNYKVlRU+//xzdO/eHe3bt4eXlxcCAgqW+5w+fToA4NmzZ7h9+zb++usvnD17FoIgIDc3t0h7\nL168wNWrVzFlyhSV7R9++CGWLFlSptg62NugubXFO54ZEREREeki0RfYxsbG2L59O7777jscOnQI\nO3bsQLVq1dC7d2/MmjUL9+/fx5w5c/Dbb7/BwMAA9evXh6OjY4ntZWRkQKFQFHno0cbGpqJPRatI\npRLo6WnFEP1iSaUSla8kHsyNeDE34sb8iBdzI16ayonoC2wAcHBwQGhoKBQKBX7//Xfs2bMHP/zw\nA+zt7REdHQ0DAwPlg4wSiQSJiYnYvXt3sW1ZWFhAIpHg0aNHKtvT09Mr41S0hkxmpJGVj9RNJjPS\ndAhUAuZGvJgbcWN+Kp6Pjw8mTZpUZF2MmJgYrFy5EseOHSv2uNLmJiIiAmfPnkVkZGSR14KCggAA\nISEhb23Hz88PHh4emDBhQqn6rWg+Pj4qE0oUat26NbZt2ya6eCuS6AvsX375BV9//TX27duH6tWr\nw9nZGc7Ozti3bx/u37+PO3fu4KuvvkKzZs2Ux5w8eRKCIEAuL/pAX8EKUq44fPgwxo0bp9x+7Nix\nMj/kqMsyM3OQnp6t6TDemVQqgUxmpHVL2VcFzI14MTfipiv5yc3NxeXLlbtUevPmZXtwXy5XIDv7\nRZG/g9nZL6BQoMj2suYmJycX+fnyYv/OvnjxEoIglOpvcF6eHP/881I0f6/lcgW+/HIqOnfuqrJd\nX18f6enZCA4Og76+XqXGW5ibyib6ArtVq1aQy+UYN24cRo8eDVNTUxw4cABZWVno3r07Tp48ia1b\nt8LW1hYymQyxsbHKK8KcnJxi2/ziiy8wfPhwTJgwAZ9++ilu376NtWvXljm2xIyscp2bWCVmZME6\nX468PO39BV4oX0fOQxcxN+LF3Iibtufn0qVLmLnuMGS2DpXSX2ZaEhaMkZf5wf3i3me5XAGFAiW+\n/6XNzZvaUSgAhUJRqnYUCgXk8tLtW1kMDY0hkxV9Pi0vTw4jIxPl97pO9AV2jRo1sHHjRoSHh2PW\nrFn4558o7iDjAAAgAElEQVR/0KhRI6xcuRJt2rTB6tWrERwcjKCgIBgYGKBhw4ZYs2YNFixYgISE\nBAwePLhIm25ubli/fj2WLVuGiRMnwt7eHiEhIRg7dmyZYusevlHr7yQUxxoF0/QRERFVBJmtA6zs\nm2o6jHJ58OA+BgzohZ07f4a9fS0AwIYNa3H+fAJWriy4affbb79i3brVuHs3CbVr18GECV+gdWt3\nlXZyc3MxefJYGBmZYNGiZUX6OXnyONav/w4PHqSifv2GGDduElxcWilff/gwDRMmjMHVq1fQuHET\nTJ06Ew0aNARQMNXxsmWhOHUqFsbGJujY0Rvjxk2GgYEBLl48jwULvoGHR1scOXIIQ4eORFLSHQDA\njRvX8eTJY/TtOwAnThzDli3blf398MNWnD4di4iIdWV+zyZO/BytWrlhxIjRWLDgG5iZyfDo0UOc\nPh0Hmcwcn38+Ht26Fcz+NmBAL/zf/w3FoUP7cfPmDdStWxdBQXPQuHHJz9mJiegLbABo3rw5NmzY\nUOxrTZo0wffff19k+/79+5Xf9+nTB3369FF53dPTE56enirbyrrYjLu7O9LTs6vElRgREVFVp1Ao\nVH4ubmhp4bbbtxMxY8aX+Oyzz+Hj0wXHjx9BUFAgoqJiVNr7+uuvoFAAISGLoaenWpbdvHkDCxZ8\njWnTvoKjYzP89ttpTJ06GVu2/AA7O3sAwMGD+zB5ciCmTfsKW7ZswMyZgfjxxxgIgoCQkG8glyuw\nZs1mvHjxD8LDF2PZskWYPn0WgIKLhJcvc7Fp0zbo6elhw4Y1+OWXAwgJWQIrq+qQyWTYtGkd7t1L\nhr19bQDA8eNH0KNHT7W8nzExOzF69DiMHTsRO3f+gMWLQ9C+fUcYGxfc6d60aR2mT58FB4d6WLhw\nHsLDF2P16uLrQbHRigKbiIiIqDItXhyCpUsXqWzLz89H9erWpTp+//69aNnSBX5+IwAAQ4YMx4sX\nL/Ds2TMABcX1smWLcO/eXaxevRHVqlUr0saPP25Fr159lWOa+/X7FBcvnsfu3T9h/PjJAIAOHbzR\np09/AEBgYBB8fT9EfPxZ2NnZ49SpWBw8eExZsE6dOhMjRw7GxIlfACi4GBgyZDhq1bJT9tm0qRPa\ntm2n/NnRsRmOHz8CP78RePDgPm7evI6OHYveaS/pfRMEAT///AuqVTMssm+DBo0waNAQAMCoUWOx\nc+ePuH37Npo3L/gUvUePj9GuXQcAwMCBQzBnzoyS33CRYYFdDvHx8aIcIsJVGImIiMpn1Ch/dOjQ\nSWXbyZPHEBPzU6mOT07+C02aqA6D+eyzfxfFu3LlD/z++//QrJkTTE1Ni23jr7+ScPz4Ueze/W+f\n+fl58PD49xP4pk2dlN8bGxujdu06SEq6g7y8PMjlcvTu/WGRdu/dS1Z+/957NVVee/3nDz7ohkOH\n9sHPbwSOHfsvXF1bF5nq+FXFvW/FFdcAULt2nVdiN1GeX6HCu+YAYGJigry8f18TOxbY5eAfGlNp\nD2mUVsHDHOAqjEREROVgYWGhHIZRyNLS6pWfig4Pyc/PV34vlb65xDI2NkFwcBimTZuMffv2oGfP\n3sW0l4fBg4eie/ePVLa/WrC+Ps+zQiGHvr4+8vPzYGpqho0bI4sMbalRwwZXrhTM5KKvr6/y2us3\n6Dp37oJVq8KRknIPJ04cQ+/efd94XsW9byV5fUhMQfyKN76uLbQ3chHQhYc0iIiIqOz09fWgUCjw\n/Pm/U86lpKQov69duzZu3ryhcoy//0j07z8IAFC/fgM4O7tg2LDPsGZNBDp29IGZmZnK/nXq1MX9\n+6kqBevq1ctRp46DsiBPTLylfO3Zs2dITr6LunUdUL26NbKzC2Y7Kzw+MfEWNm5ci6++mlvq86xe\n3Rqurq2xf/9eJCbeRMeOPqU+tirjkkMAEhMTMXDgQE2HQURERFrCyqo6bGxs8cMPkUhNTUF0dDR+\n/TVO+Xrv3v1w6dL/EBW1DSkp9xAZuRl37tyBi4urSjuffPJ/MDMzw9q1q4r08ckng3H06GHs2vUj\nUlLuYceOH7Bjxw+oU6eucp///vcX/PzzbiQl3UFIyLeoXbsOWrVyQ926DmjT5n18880s/PnnVVy/\n/icWLPgG//zzD0xMih+SUpIPPuiKqKhtaNPm/RKHs5Aq3sEGcPDgQVy6dEnTYRAREVUJmWlJldxX\n4zIe9faF5wRBQFDQHISHh2HQoAFo29YTI0aMwunTpwAU3DUODg7Fd9+txLp1q1GvXgMsWrSsyEOS\nenp6mDTpS8yYEVBkmIiTU3PMmvUtNm1ai9WrV8LOzg5ffx2Mli1dlDH07/8J9u/fi/DwMLRo4Yzg\n4DDl8XPmzMOyZWGYMmUcpFIp3n+/LSZPnlrG9wLo2LEzFi9eWGQBmWLelTe/+pYF/QRBeGUf7V78\nT1C8PjCnClq5ciVWr15d5mn6fMavE90QkSf3rmFG78ZVfgy2np4ElpYmnEZRhJgb8WJuxE1X8pOb\nm6sc/1tZKvrhf13JTUmSk+9i5Mgh+PnnwzA0LP6BRbEqzE2l91vpPWrAixcvEBERgcOHDyM1NRUG\nBgZwdnbGtGnTcOTIEaxaVfCxTNOmTTF+/HhMmDChVO1W5hV4aWWmJeH69Yr5x83ZSYiIqLwMDAyq\n/E0gbfH8+XOcPfsr9u6NQZcu3bSuuNakKlFgT506FRcuXEBAQABq166NpKQkLF++HIGBgdi4cSMe\nPHiAn376CVFRUbC1tS11u243dsAu1bgCI3835vuN8eigeofXJ2ZkAXNX8JciERFRFRIaGozatWtj\n9Ohxmg5Fq+h8gf3y5Uvk5ORg9uzZ6NatG4CCpdKzsrIQGhoKPT09vPfeewCAli1blqntDvY2aG5t\nofaYiYiIiDTN2NgYhw4d13QYWknnC2x9fX2sX78eAJCWloakpCQkJSXh+PGC/2Fyc3M1GZ5WkUol\n0NPTjolnCucFfX1+UNI85ka8mBtxY37Ei7kRL03lROcLbACIi4tDSEgIbt++DVNTUzg6OsLIyAgA\niky+TiWTyYw08qBAechkRpoOgUrA3IgXcyNuzI94MTdUSOcL7OTkZEyYMAFdunTBunXrYG9fMNn6\n9u3bcerUKQ1Hp10yM3OQnp799h1FQCqVQCYzEuVS9lUdcyNezI24MT/ixdyIV2FuKpvOF9iXL19G\nbm4uRo8erSyuASA2NhYAIJfLIZG828cHiRlZaolRGyRmZME6X6510w/la2HMVQVzI17MjbgxP+LF\n3FAhnS+wnZycIJVKERYWhpEjRyI3NxfR0dE4efIkACAnJwcymQwAsH//fjg7O6sU4m/SPXxjlbla\ntUbBNH1ERERE9GY6X2DXqVMHS5cuxcqVKzFu3DiYm5vDxcUFkZGRGDp0KBISEtC1a1fs3bsXM2bM\nwIABAzBnzpxSte3u7q6zk8oTERER0bvhSo7lxAJbnHR9VS1txtyIF3MjbsyPeDE34qWplRw5nwwR\nERERkRrp/BCRihQfH19lxmC/ikumExEREZWMBXY5+IfGQGbroOkwKlVmWhIWjAGXTCciIiIqAQvs\ncpDZOsDKvqmmwyAiIiIiEeEYbCIiIiIiNWKBTURERESkRjpRYPfp0wfjx49X2da5c2f4+PiobPP3\n98eoUaMAADt37kTPnj3RokULeHt7IyIiAvn5+ZUWMxERERHpJp0Yg92pUyds3boVCoUCgiAgJSUF\nKSkpyu/t7OyQl5eHs2fPIiAgAGvXrkV4eDiGDh2KmTNn4tq1a1ixYgUePHiA+fPnl7rfzLSkijsp\nkSo458aaDoOIiIhItHSmwF6zZg1+//13ODs748yZM6hbty6ePHmC+Ph42NnZISEhATk5OXBzc8PA\ngQMxaNAgBAUFAQDatm0LCwsLzJo1CyNGjECDBg1K1a/bjR2wSzWuyFMTjZSs53AaHYgmvbtyyXQi\nIiKiN9CJArtly5awsLDAr7/+qiywPT09kZycjHPnzsHX1xdxcXFo2LAhHj58iJycHHh7e6sMCenU\nqRMUCgVOnz5d6gK7g70NmltbVNRpicrlR09h26wZWrXSjun5pFKJylcSD+ZGvJgbcWN+xIu5ES9N\n5UQnCmxBENChQwf8+uuv8Pf3x9mzZzFz5kzUrFkTu3btAgDExcXBx8cHT58+BQCMGTMGr68SLwgC\nHj58WOnxawuZzEgjy42Wh0xmpOkQqATMjXgxN+LG/IgXc0OFdKLABoCOHTtixowZ+OOPP/D48WN4\neHigVq1aCA8Px//+9z/cuHED33zzDTIzMwEAS5YsQd26dYu0Y21tXdmha43MzBykp2drOoxSkUol\nkMmMquRKm2LH3IgXcyNuzI94MTfiVZibyqYzBXb79u0hl8uxdu1a1KtXD9WrV4eFhQWMjIwQFhYG\nKysruLq64unTp9DX18eDBw/Qo0cP5fHXrl1DWFgYxo0bB1tb21L1mZiRVVGnIzqJGVmwzpcjL0+7\nfnHka2HMVQVzI17MjbgxP+LF3FAhnSmwzczM4OrqiiNHjmDgwIEAAKlUCjc3N8TGxsLX1xcAYGFh\ngVGjRmH58uV49uwZ2rRpg7S0NKxYsQISiQSOjo6l7rN7+MYqc7VqDfDhRiIiIqJS0JkCGygYJpKQ\nkAAPDw/lNg8PD8TFxcHb21u5bfLkybCxscH27duxceNGyGQyeHl54YsvvoCpqWmp+3N3d0d6ejav\nVomIiIhISVC8/qQflQkLbHHS05PA0tKE+REh5ka8mBtxY37Ei7kRr8LcVDbOJ0NEREREpEY6NUSk\nssXHx1eZMdhl4eTUAgYGBpoOg4iIiEgjWGCXg39oDGS2DpoOQ1Qy05KwYAzg6qodC9IQERERqRsL\n7HKQ2TrAyr6ppsMgIiIiIhHhGGwiIiIiIjVigU1EREREpEZaX2D7+PggIiICISEheP/999GqVSsE\nBgbi+fPnWLduHTp27Ag3NzdMmjQJGRkZyuN27tyJnj17okWLFvD29kZERATy8/M1eCZEREREpAt0\nYgz25s2b4eXlhWXLluHy5ctYsmQJrly5AltbW8yfPx/37t3D/PnzUaNGDcyePRtr165FeHg4hg4d\nipkzZ+LatWtYsWIFHjx4gPnz55e638y0pIo7KS1V8J401nQYRERERBqjEwW2mZkZwsPDIZFI4Onp\niZiYGDx8+BC7du2CiUnB5OInT57EhQsXkJWVhTVr1mDQoEEICgoCALRt2xYWFhaYNWsWRowYgQYN\nGpSqX7cbO2CXalxh5yUmKVnP4TQ6EE2avG0p+cZcUp2IiIiqNJ0osFu2bAmJ5N/RLtWrV4epqamy\nuAYAS0tL3Lx5ExcvXkROTg68vb1VhoR06tQJCoUCp0+fLnWB3cHeBs2tLdR3IiJ2+dFTWDdx5PR7\nRERERG+hEwX2q4V0IUNDw2L3ffr0KQBgzJgxeH2VeEEQ8PDhQ/UHqCOkUgn09LRj2L5UKlH5SuLB\n3IgXcyNuzI94MTfipamc6ESBXRYymQwAsGTJEtStW7fI69bW1pUdktaQyYxgaVn0YkbMZDIjTYdA\nJWBuxIu5ETfmR7yYGypU5QpsFxcX6Ovr48GDB+jRo4dy+7Vr1xAWFoZx48bB1tZWgxGKV2ZmDtLT\nszUdRqlIpRLIZEZcyl6EmBvxYm7EjfkRL+ZGvApzU9mqXIFtbm6OUaNGYfny5Xj27BnatGmDtLQ0\nrFixAhKJBI6Ob3uI71+JGVkVGKm4JGZkwTpfjrw87frFka+FMVcVzI14MTfixvyIF3NDhbS+wBYE\nAYIgFLu9pG2TJ0+GjY0Ntm/fjo0bN0Imk8HLywtffPEFTE1NS9139/CNVeZq1Rrg7CBEREREpSAo\nXn/Sj8okPT2bV6sipKcngaWlCfMjQsyNeDE34sb8iBdzI16FualsfNyViIiIiEiNWGATEREREamR\n1o/B1qT4+PgqMwZb05ycWsDAwEDTYRARERG9FQvscvAPjYHM1kHTYei8zLQkLBgDriJJREREWkHr\nC2wfHx94eHggJCTkndt49uwZgoOD0b9/f7i5uZX6OJmtA6zsm75zv0RERESkezgGGwWLzOzevbvI\n0ulERERERGXFAhuAQqEodt5sIiIiIqKy0vohIgCQl5eH+fPnY+/evQAKho1Mnz4dlpaW8PPzgyAI\n+P7775X7nzt3DkOHDkVkZCQUCgWGDRsGQRDg5+eHNm3aqOz7JplpSRVxOvSagve5sabDICIiIioV\nnSiwDxw4ABcXF4SGhuLx48dYvHgxEhMTERUVVeIxhXesnZycMGfOHMybNw9ff/013N3dS92v240d\nsEs1Lnf82i4l6zmcRgeiSZPSLzNfNo25iiQRERFpDZ0osC0tLbFp0yZUq1ZN+fOECRMQGxv71mNN\nTEzQsGFDAECDBg3QoEGDUvfbwd4Gza0t3i1oHXL50VNYN3HkLB9ERERE0JECu1OnTsriGigYIiKV\nSpGQkKDBqKoWqVQCPT3xDOmXSiUqX0k8mBvxYm7EjfkRL+ZGvDSVE50osK2trVV+FgQBFhYWyMzM\n1FBEVY9MZgRLSxNNh1GETGak6RCoBMyNeDE34sb8iBdzQ4V0osDOyMhQ+Vkul+Pp06ewsrJCUlIS\n5HLVlRafP39emeFVCZmZOUhPz9Z0GEpSqQQymRFX2hQh5ka8mBtxY37Ei7kRr8LcVDadKLBPnz4N\nuVwOiaTgY4BDhw4hPz8fHh4euHHjBm7cuKGy/+tDRyQSyTvNgZ2YkfXuQeuQxIwsWOfLkZcnvl8q\n+SKNi5gbMWNuxI35ES/mhgrpRIH9999/Y8KECfDz88OdO3ewbNkyeHl5wdPTE/fu3cPx48excOFC\n+Pj4ICEhAXv27FE5XiaTAQCOHz8OMzMzODqWbjaM7uEbebUKwBrgLB9ERERE/5/WF9iCIGDQoEHI\nysrC+PHjYWBggN69eyMwMBAA0K9fPyQnJyM6Oho//vgjPDw8sHLlSgwaNEjZRqNGjdCzZ09s374d\ncXFx+Pnnn0vVt7u7O9LTs3m1SkRERERKgoLrg5cLC2xx0tOTwNLShPkRIeZGvJgbcWN+xIu5Ea/C\n3FQ2zidDRERERKRGWj9ERJPi4+M5BluNnJxawMDAQNNhEBEREZULC+xy8A+NgczWQdNh6ITMtCQs\nGAOuBklERERajwV2OchsHWBl31TTYRARERGRiHAMNhERERGRGrHAJiIiIiJSI50ssOVyObZt24aP\nP/4Yzs7O8Pb2xpIlS5CbmwsACAoKwogRIxAdHY1u3bqhRYsW8PX1RVxcnIYjJyIiIiJtp5NjsGfP\nno29e/dizJgxcHNzw9WrVxEREYFr165hw4YNAIDLly/j77//xpQpU2Bqaorw8HBMmjQJsbGxMDMz\nK1U/mWlJFXgWVUvBe9lY02EQERERlZvOFdiJiYn46aefEBgYiFGjRgEAPD09UaNGDUyfPh2xsbEA\ngKysLMTExMDe3h4AYGRkBD8/P/z222/o0qVLqfpyu7EDdqnGFXMiOiIl6zmcRgeiSZO3LT/fmMut\nExERkU7QuQL73LlzEAQBH330kcr2jz76CEFBQTh37hwAwMrKSllcA4CtrS0UCgWeP39e6r462Nug\nubWFegLXUZcfPYV1E0dOv0dERERVhs4V2BkZGQAAa2trle1SqRSWlpbIzMwEABgaGqq8LpEUDEfn\nyvHqJ5VKoKdXucP9pVKJylcSD+ZGvJgbcWN+xIu5ES9N5UTnCmxzc3MAwKNHj1CzZk3l9ry8PKSn\np8PS0hIPHz7UVHhVkkxmBEtLE431TeLE3IgXcyNuzI94MTdUSOcK7DZt2kChUGDfvn0YPXq0cvu+\nffsgl8vRunVrHDx4UIMRVj2ZmTlIT8+u1D6lUglkMiMuZS9CzI14MTfixvyIF3MjXoW5qWw6V2A3\naNAAffr0wYoVK5CTkwN3d3flLCLvv/8+OnTooLYCOzEjSy3t6LLEjCxY58uRl6eZXzj5Guyb3oy5\nES/mRtyYH/FibqiQzhXYALBgwQI4ODjgp59+wvr162Fra4thw4Zh3Lhxyn0EQShyXHHb3qR7+EZe\nrb6FNcDZQYiIiKhKERR8qq9c0tOzebUqQnp6ElhamjA/IsTciBdzI27Mj3gxN+JVmJvKxsddiYiI\niIjUSCeHiFSW+Ph4DhF5B05OLWBgYKDpMIiIiIgqBAvscvAPjYHM1kHTYWiVzLQkLBgDLjxDRERE\nOosFdjnIbB1gZd9U02EQERERkYjo1BjstLQ0DB48GC1btoSXlxdevHih6ZCIiIiIqIrRqTvYW7Zs\nwaVLl7BkyRLY2NigWrVqmg6JiIiIiKoYnSqwnz59ChsbG3Tr1k3ToRARERFRFaUzBbaPjw/u378P\nhUKBpk2bYvz48fj000+xdOlSnDlzBunp6WjcuDH8/f3h4+OjPM7R0RETJkzAiRMncPPmTXz++ecq\nC9K8SWZaUgWdje7KTEvC9etFZ13hzCJERESkK3SmwF69ejWWLVuGq1evYtWqVbC2tka/fv1gZGSE\ngIAAmJubIyYmBuPHj0dYWBh69uypPHbdunX48ssvUa9ePdjb25e6T7cbO2CXalwRp6PTzPcb49HB\nf4f/J2ZkAXNXcGYRIiIi0gk6U2A7OjrCysoKBgYGaNmyJcLCwvD06VPs2LED7733HgCgQ4cOePr0\nKUJDQ1UKbHd3dwwfPrzMfXawt0Fzawt1nQIRERER6QCdKbBfFx8fD1dXV2VxXahXr16YOXMmEhMT\n0aBBAwBAkyZNNBEivUIqlUBPT32T2kilEpWvJB7MjXgxN+LG/IgXcyNemsqJzhbYGRkZqF27dpHt\n1tbWAIBnz54ptxkbc5iHpslkRrC0NKmQdkmcmBvxYm7EjfkRL+aGCulsgW1ubo5Hjx4V2f7w4UMA\ngJWVVWWHRG+QmZmD9PRstbUnlUogkxlxKXsRYm7Ei7kRN+ZHvJgb8SrMTWXT2QLb3d0dkZGRuH//\nPmrWrKncvnfvXlhbW6NOnTrl7iMxI6vcbVDB+2idL0denvp/KeVXULtUfsyNeDE34sb8iBdzQ4V0\ntsAeMWIE9u7di+HDh2P8+PGwsLBATEwMzp07h5CQELX00T18I69W1cAaBdP0EREREekCnSuwBUEA\nUDDW+scff8SSJUsQHByM3NxcODo64rvvvkOnTp1U9i88pqzc3d2Rnp7Nq1UiIiIiUhIUCoVC00Fo\nMxbY4qSnJ4GlpQnzI0LMjXgxN+LG/IgXcyNehbmpbJxPhoiIiIhIjXRuiEhlio+PF/0YbC5BTkRE\nRFS5WGCXg39oDGS2DpoOo0SZaUlYMAZcgpyIiIioErHALgeZrQOs7JtqOgwiIiIiEhGOwSYiIiIi\nUiMW2EREREREaqT1BbaPjw8iIiIQEhKC999/H61atUJgYCCeP3+OdevWoWPHjnBzc8OkSZPw9OlT\nLFq0CM7OzsjKUl2FcfXq1XBzc0Nubq6GzoSIiIiIdIFOjMHevHkzvLy8sGzZMly+fBlLlizBlStX\nYGtri/nz5+PevXuYP38+atSogcGDB2PTpk345Zdf0K9fP2Ube/bswUcffVSmGTcy05Iq4GzUJzMt\nCdevi3eGk7fhDChERESkjXSiwDYzM0N4eDgkEgk8PT0RExODhw8fYteuXTAxKZhc/OTJk7hw4QJm\nz54NFxcX7N69W1lgX7hwAXfv3kVYWFiZ+nW7sQN2qcZqPx91Mt9vjEcHte+DisSMLGDuCs6AQkRE\nRFpHJwrsli1bQiL5t4isXr06TE1NlcU1AFhaWuLmzZsAgP79+2POnDlITU1FrVq1EBMTAwcHB7Rs\n2bJM/Xawt0Fzawv1nAQVIZVKoKf3bhcHUqlE5SuJB3MjXsyNuDE/4sXciJemcqITBfarhXQhQ0PD\nEvfv0aMHFixYgL1792LkyJE4dOgQPv/884oMkd6BTGZU7uVNZTIjNUVD6sbciBdzI27Mj3gxN1RI\nJwrssjI2Nkb37t1x8OBBNGrUCDk5OejVq5emw6LXZGbmID09+52OlUolkMmMRL/SZlXE3IgXcyNu\nzI94MTfiVZibylYlC2ygYJhIdHQ0tmzZgrZt28LGxqbMbSRmZL19J3oniRlZsM6XIy+vfL+o8tXQ\nBlUM5ka8mBtxY37Ei7mhQlW2wG7VqhXq16+PhIQEhIeHv1Mb3cM38mq1glijYBYRIiIiIm2j9QW2\nIAgQBKHY7W/b1rFjRzx+/Bg+Pj7v1Le7uzvS07N5tUpERERESlpfYB89erTItsjIyCLbQkJCimyL\njY1F3759oa+vXyGxEREREVHVo/UFdlllZ2dj8+bN+OOPP3Dv3j0MGTJE0yERERERkQ6pcgW2oaEh\noqKioFAoEBISAjs7u3duKz4+XqvHYHOlRCIiIiL1q3IFtlQqRVxcnFra8g+NgczWQS1tVbbMtCQs\nGAOulEhERESkZjpXYPv4+MDDw0M55nrNmjUwMDDAyJEjAQArV67EqlWr8Oeff5a7L5mtA6zsm5a7\nHSIiIiLSHTq3pufq1asxbtw45c/h4eF4/vy58ueSZh0hIiIiIlIHnbuD7ejoqOkQiIiIiKgKE/0d\n7D59+mD8+PEq2zp37lxk7upx48bhs88+g4+PD4KCggAUFNuCICAiIgJNm6oO5Th58iR69+6Nli1b\nolu3bti9e3fFnggRERERVQmiv4PdqVMnbN26FQqFAoIgICUlBSkpKcrv7ezskJeXh99++w0BAQHY\nuHGj8tioqCh8+umnGDBgAAYMGKDcrlAoMHfuXEyZMgU2NjZYt24dZs6ciWbNmqFx48alji0zLUmd\np1qpMtOScP26uGc/4SwnREREpI20osBes2YNfv/9dzg7O+PMmTOoW7cunjx5gvj4eNjZ2SEhIQE5\nOTno1KmTSoHt7OwMALC1tUXLli2V2wVBQHBwMLy8vAAAtWvXRpcuXXDu3LkyFdhuN3bALtVYTWda\n+V4100IAACAASURBVMz3G+PRQXF+iJGYkQXMXcFZToiIiEjriL7AbtmyJSwsLPDrr78qC2xPT08k\nJyfj3Llz8PX1RWxsLBo2bFimOa1bt/63cLO3twcAZGZmlim2DvY2aG5tUaZjiIiIiEi3ib7AFgQB\nHTp0wK+//gp/f3+cPXsWM2fORM2aNbFr1y4AwKlTp4qMyX4bQ0NDlT4AQC4X95CJqkYqlUBP793u\nsEulEpWvJB7MjXgxN+LG/IgXcyNemsqJ6AtsAOjYsSNmzJiBP/74A48fP4aHhwdq1aqF8PBw/O9/\n/8ONGzfw7bffajpMUjOZzAiWliblboPEibkRL+ZG3Jgf8WJuqJBWFNjt27eHXC7H2rVrUa9ePVSv\nXh0WFhYwMjJCWFgYrKys4OLiUuyxEgmvJrVVZmYO0tOz3+lYqVQCmcxIq5ey11XMjXgxN+LG/IgX\ncyNehbmpbFpRYJuZmcHV1RVHjhzBwIEDARQsee7m5obY2Fj4+vq+8diLFy8iISEBbm5uao0rMSNL\nre3RvxIzsmCdL0deXvl+UeWroQ2qGMyNeDE34sb8iBdzQ4W0osAGCoaJJCQkwMPDQ7nNw8MDcXFx\n8Pb2Vm57faVGf39/fPfddxg9ejQOHjyo3Od177LCY/fwjbxarSDWKJimj4iIiEjbCAqFQqHpILRZ\neno2r1ZFSE9PAktLE+ZHhJgb8WJuxI35ES/mRrwKc1PZOECZiIiIiEiNWGATEREREamR1ozBFqP4\n+HidGIPNJcmJiIiI1IcFdjn4h8ZAZuug6TDKJTMtCQvGgEuSExEREakJC+xykNk6wMq+qabDICIi\nIiIR4RhsIiIiIiI1YoFNRERERKRGOjtE5MWLF4iIiMDhw4eRmpoKAwMDODs7Y9q0aXB0dMSTJ08Q\nHByMs2fPIjMzE/Xr18fw4cPfuCrk6zLTkiruBCpJZloSrl8X90OafAiTiIiItInOFthTp07FhQsX\nEBAQgNq1ayMpKQnLly9HYGAg9u3bh6lTpyI9PR3ffvstTExMsGfPHgQFBaFWrVpo06ZNqfpwu7ED\ndqnGFXwmFc98vzEeHRTnhxmJGVnA3BV8CJOIiIi0hk4W2C9fvkROTg5mz56Nbt26AQDc3NyQlZWF\n0NBQPHr0CPHx8ZgwYQJ8fHwAFCy7bmFhAX19/VL308HeBs2tLSrkHIiIiIhIO+lkga2vr4/169cD\nANLS0pCUlISkpP/H3r3HRVXn/wN/DYMkFwdRFBU0zNRB5KqEeEspLz/T0nV1W/FSKnijthIr6mv6\nrU0iMk2RRNd0u7irqairmWa6gpoyRKZumSs6hrLhDRgHUYI5vz/4zqyEFwYOcz4z83o+Hj7AmTPn\nvA8vZ3zP4TOfjx779+8HUNOAR0dHY9myZfjXv/6FAQMG4NFHH8XLL7+sZNl0F2q1C1xdrbvCrla7\n1PpK4mA24mI2YmM+4mI24lIqE4dssAEgJycHKSkpOHv2LLy8vKDVauHu7g4AkCQJS5YsQWZmJr74\n4gvs2bMHKpUKffv2xZtvvokOHTooXD3dTqNxh4+PZ4MfS2JiNuJiNmJjPuJiNmTmkA12YWEhEhMT\nMWTIEKxatQoBAQEAgPXr1+PgwYMAAC8vL8ydOxdz586FXq/H119/jfT0dLz55ptYuXKlkuXTbxgM\nFSgpKbfqMWq1CzQad4dYadPRMBtxMRuxMR9xMRtxmbOxNYdssE+ePInKykrEx8dbmmsAyM7OBgAU\nFRVhwoQJSE5OxrBhwxAYGIhp06bhu+++w/nz5+t9nIIyo+y1U20FZUb4VptQVdWwF6zqRjyWmhaz\nERezERvzERezITOHbLCDg4OhVquRlpaGqVOnorKyElu2bMGBAwcAABqNBu3atcPbb78No9GITp06\n4cSJEzhw4ABmzpxZ7+MMX7qG71abmC9qpukjIiIishcqSZIkpYtoCnv27MHy5ctRWFgIb29vhIeH\nY9KkSZg8eTLmz5+PoUOHYvHixTh06BBKSkrQvn17jB07FgkJCVYdp6SknO9WBeTq6gIfH0/mIyBm\nIy5mIzbmIy5mIy5zNrbmsA22rfDJJCa+2ImL2YiL2YiN+YiL2YhLqQab88kQEREREcnIIcdg24pO\np3PIMdhcmpyIiIio4dhgN8Ks1Cxo/AKVLkNWhmI9FiWAS5MTERERNZDDNNixsbGIjo5GSkrKHe9P\nTk5Gbm4uvv76a9mOqfELRKuAINn2R0RERET2z2Ea7PuZPXs2pkyZonQZREREROTgnKbB7tixo9Il\nEBEREZETqFeDXVRU1KCdd+jQoUGPa6iqqiqkpaVh27ZtKC8vR2RkJBYuXIiOHTvi1VdfRW5uLvbt\n2wcA+Ne//oW0tDScPHkSJpMJYWFheOGFFxAWFmbTmomIiIjIsdSrwY6NjYVKpbJ65z/++KPVj2mM\nnTt3YsCAAUhNTcXly5eRkpKCF198EZs2bYJKpbKcg9FoxPTp09G3b18sX74clZWV+PDDDzF9+nTs\n378fXl5e9TqeoVjfhGejDEOxHj/9JO6sKJzhhIiIiERXrwZ75MiRdRrsffv24datW+jfvz+6dOkC\nk8kEvV6PnJwctGzZEr///e+bpOB7adeuHTIyMqBWqwEA58+fx8qVK1FeXl5ru4KCApSUlGDSpEkI\nDw8HADz00EPYuHEjysvL691g9z69Ef5FHvKehAC8d3rgyi7xpkgvKDMCC5ZxhhMiIiISWr0a7Pfe\ne6/W3z/99FPs27cPmzZtglarrXXfmTNnEBcXh+bNm8tXZT2FhoZammsACAgIAABcv3691nZdu3ZF\nq1atMGPGDAwfPhwDBgxAv379MHfuXKuONzCgLXr6tmx84URERETkMBr0Ice//vWvmDhxYp3mGgAe\nfvhhTJw4ERs2bMDMmTMbXaA13N3da/3dxaXmKqzJVHvIg4eHB9avX48PP/wQX375JTZu3IgHHngA\nTz31FP7nf/4HzZo1s1nNZB212gWurve/uq5Wu9T6SuJgNuJiNmJjPuJiNuJSKpMGNdiXLl1CmzZt\n7nq/RqNBaWlpg4uyhcDAQKSmpkKSJBw/fhzbtm3D+vXr8eCDD2Lq1KlKl0d3odG4w8fH06rtSUzM\nRlzMRmzMR1zMhswa1GA/+OCD2LVrF+Li4uqMza6srMTWrVvx8MMPy1JgU9i9ezcWLlyIHTt2oHXr\n1ggLC0NYWBh27NjR4BlTyDYMhgqUlJTfdzu12gUajbtDLmVv75iNuJiN2JiPuJiNuMzZ2FqDGuy4\nuDgsWLAA8fHx+OMf/4jAwEDcunULZ8+exUcffYRTp05hyZIlctcqm8jISJhMJsyePRvx8fHw8vLC\nF198AaPRiGHDhtV7PwVlxiaskn6roMwI32oTqqrq/+JVbeX2ZDvMRlzMRmzMR1zMhswa1GD/4Q9/\nwM8//4x169bh0KFDltslSYKrqyvmzZuH4cOHy1Zkfdw+Dd+9tgGANm3aYM2aNVi6dCn+53/+Bzdv\n3kTXrl2xfPlyREVF1fuYw5eu4btVG/JFzTR9RERERCJTSZIkNfTBP//8M/bt24fCwkIANUNHhgwZ\ngvbt28tWoOhKSsr5blVArq4u8PHxZD4CYjbiYjZiYz7iYjbiMmdj8+M25EFxcXEYPXo0xo0bh2ee\neUbmkoiIiIiI7FeDGuzjx49j5MiRctdid3Q6HYeICIofOLEtrrBJRET0Xw1qsDt16gS9Xi9zKfZn\nVmoWNH6BSpdBpChDsR6LEsAVNomIiP5PgxrspKQkzJs3DwaDAX369IGvr69lUZfbxcTENLpAkWn8\nAtEqIEjpMoiIiIhIIA1qsGfNmgUAyMrKwtatW++63Y8//tiwqmwgNjYW0dHRSElJwYcffogHHniA\nC8wQERERUaM1qMGeM2fOfafEE11GRgY8PWs+VfrBBx8gMTFR4YqIiIiIyBE0qMF+7rnn5K7D5rRa\nrdIlEBEREZEDalCDbWY0GnHw4EFcuHABbm5u6NChA/r374/mzZvLVV+TMQ8RycrKgkqlQnp6Olas\nWGHVsBZDsb7pCiSyEzXPg25Kl0FERCSMBjfYu3fvxhtvvAGDwQDzWjUqlQpeXl743//9X4wYMUK2\nIpvSxo0bMX78eIwbNw7jxo2z6rG9T2+Ef5FHE1VG93LReAPB8Uno3v3Ov4ngNH221I0rbBIREd2m\nQQ32999/j7lz58LT0xNz5sxB165dUV1djX//+99Yv349Xn75ZQQEBCA0NFTuemVnrtHPz8/qegcG\ntEVP35ZNURbdx8krpfDtrr3r1HBcVYuIiIiU0qAG+8MPP4S3tze2bt2KNm3a1LpvwoQJGD16NP7y\nl79g2bJlshRJdCdqtQtcXetOD2m+7/avJA5mIy5mIzbmIy5mIy6lMmlQg/3dd99h4sSJdZprAGjT\npg3+8Ic/YMOGDY0ujuheNBp3+Ph43ncbEhOzERezERvzERezIbMGNdg3btxA69at73p/69atcf36\n9QYXRVQfBkMFSkrK73gfx2CLi9mIi9mIjfmIi9mIy5yNrTWowQ4ICMCRI0cwYcKEO95/5MgRdOjQ\noVGF2dKdVqGsj4Iyo8yVUH0VlBnhW2267/jq6npsQ8pgNuJiNmJjPuJiNmTWoAZ75MiRSE9PR3p6\nOhISEuDm5gYAqKysRGZmJvbu3WtZ7dEetGjRAt999x3y8vLQu3fvej9u+NI1fLeqEF+AM1cQERGR\nkBrUYMfHx+PAgQNIT0/HmjVrEBAQAAC4cOECKioq0KNHDyQkJMhaqNxUKpVlNcpZs2bhww8/RHx8\nPHbt2oV27drVax9RUVGcpYKIiIiIalFJ5kms78FoNMLLy6vWbTdv3sSaNWvw5ZdforCwEJIkoVOn\nThg2bBimTZsGd3fnGOjPBltMnKZPXMxGXMxGbMxHXMxGXOZsbK1eDXbPnj0RGhqKvn37on///ggL\nC7Nc/XV2fDKJiS924mI24mI2YmM+4mI24lKqwa7XEJFu3brh+++/R35+PlasWIEWLVqgT58+6N+/\nP/r16wd/f/+mrlNIOp3ObsdgBweHWMbOExEREZF86tVgb9myBeXl5cjPz0deXh50Oh3279+PPXv2\nQKVSoVOnTujXrx/69euHPn36wNPT9u8UlDArNQsav0Cly7CaoViPRQm46yqIRERERNRw9f6Qo6en\nJwYMGIABAwYAAG7duoVjx45Bp9NBp9MhKysL69evh6urK8LCwtC/f3/ZZxKJjY1FdHQ0UlJSZN1v\nQ/et8QtEq4Ag2WshIiIiIvvVoFlEAOCBBx5AdHQ0oqOjAdRM0bdz5078/e9/x7fffov8/Hy7mqqP\niIiIiEgODW6wAeDHH3/E4cOHcfToUXz77be4ceMGJElCly5d0L9/f7lqJCIiIiKyG1Y12GVlZTh0\n6BBycnKQk5ODq1evQpIkeHt7Y+DAgejXrx8GDBgAPz+/pqoXVVVVSEtLw7Zt21BeXo7IyEgsWLAA\nnTp1AgB8/vnn+Pvf/46zZ8/CZDKhc+fOmDlzJoYPH27Zx6lTp5Camopjx47Bx8cHL774YpPVS0RE\nRETOpV4N9ooVK5CTk4MTJ06gurraMs56woQJ6N+/P0JCQmw2bd/OnTsxYMAApKam4vLly0hJScFL\nL72ETZs24bPPPsPbb7+NP/3pT4iMjERZWRlWr16NpKQkREREwM/PD8XFxZg0aRI6d+6M999/HwaD\nAe+99x6uXr1qdS2GYr38J2gDhmI9fvrJ/mY+sYZa7QKNxt0yywtnTSEiIiJbqVeDvXz5cri5ueGp\np57CY489hujo6DoLz9hKu3btkJGRAbVaDQA4f/48Vq5cifLycly4cAHx8fGYMWOGZfsOHTrgd7/7\nHb799luMGDEC69atQ1VVFVavXg1vb28AQOfOnTF+/Hira+l9eiP8izzkOTEb897pgSu7XJQuo0kV\n/9/XgjIjsGAZZ00hIiIim6hXg+3q6mr5EOPFixdx7tw5DBgwAN27d2/q+uoIDQ21NNcALMu0X79+\nHa+88orl+7Nnz+L8+fM4evQoVCoVKisrAQD5+fmIjIy0NNfmfXbo0MHqWgYGtEVP35aNOR2yEbXa\nBa6ujv2Gwl6o1S61vpI4mI3YmI+4mI24lMqkXg22TqfD0aNHLWOv33vvPSxevBitW7dG//79MWDA\nAMTExKBVq1ZNXW+dJdhdXGp+cCaTCT///DPeeOMNHDlyBG5ubnjooYeg1WprbV9aWmppym/Xpk2b\npiuaFKfRuCuykhPdnUbjfv+NSBHMRmzMR1zMhszq1WC7u7tj0KBBGDRoEACgsLAQ2dnZyMnJwe7d\nu7F161a4uLigR48e6N+/P/r374+IiIhaV5qbmslkQkJCAh544AFs2bIFWq0WLi4uKCgowNatWy3b\n+fj43HG8dWlpqc1qJdszGCpQUlKudBmEuuPjSRzMRmzMR1zMRlzmbGytQdP0dezYEXFxcYiLi8Ov\nv/6KvLw8HDp0CLm5ufjLX/6CzMxMeHl5QafTyV3vXV27dg16vR6vv/46evToYbn9wIEDUKlUMJlq\n/sHHxMTgo48+wqVLl9C2bVsAwJkzZ1BYWIjIyEirjllQZpTvBKjJFJQZ4VttQlUVX/REUs1MhMVs\nxMZ8xMVsyKxR82ADQLNmzdCtWzfcuHEDrq6ucHFxwbFjx2A02rb59PX1hb+/Pz799FP4+flBo9Eg\nOzsbn3zyCQCgoqICADBlyhRs3rwZ06ZNw3PPPYeqqiosXbq0QTNMDF+6hu9WBXX71QTf/5tFhIiI\niMgWGtRgnzlzBvn5+ZY/hYWFAGpWd+zVqxeSkpLQt29fWQsFAJVKdc/pADMyMvD2228jOTkZbm5u\nePjhh7Fy5UosWrQIeXl5iIuLQ8uWLbF+/XosWrQIycnJ8PDwwPTp07Fr1y6r64mKikJJSTnfrQrI\n1dUFPj6ezIeIiIhsTiVJknS/jXQ6naWZPnbsGAwGAyRJglqtRnBwMGJiYtC3b19EREQ43VzDbODE\nxAZbXMxGXMxGbMxHXMxGXOZsbH7c+mw0adIkqFQqSJKEhx56CCNHjkRMTAz69Omj2HzYREREREQi\nqleD/eSTT6Jv376IiYlp0mXQ7Y1Op+MYbEHJ8Ylurv5IREREDVGvBvvdd99t6jrs0qzULGj8ApUu\ng5qAoViPRQng6o9ERERktUbPIuLMNH6BaBUQpHQZRERERCQQrulJRERERCQjNthERERERDKyqwb7\n3XffRVhYWJ1FbDIyMtC7d29UVlbixIkTmD59OqKjo9GrVy/MnDkTZ86csWxrXka9qKio1j5iY2OR\nnJxsk/MgIiIiIsdlV2Owf//732Pt2rXYvXs3xo4da7l927ZteOKJJ/Ddd99h2rRpiImJQUpKCior\nK7Fy5Uo8/fTT+Pzzz9G5c+f7LlZjDUOxXpb9kHhqsu2mdBlERERkh+yqwX7ooYcQFhaGrVu3Whrs\n/Px8/Pzzz3j33Xfx5z//GZ07d8aqVassTXS/fv0wZMgQLFu2DEuWLJG1nt6nN8K/yEPWfZLtXTTe\nQHB8Erp31952azcur05EREQNYlcNNlBzFfuNN95AUVEROnTogKysLAQGBqJbt244efIkEhMTa12h\nbtGiBQYPHozs7GzZaxkY0BY9fVvKvl+yrZNXSuHbXcsp+YiIiEgWdtdgjxgxAosWLcL27dsxdepU\nfPnll5gxY4Zl+fY2bdrUeYyvry8MBoMC1ZK9UKtd4OpqVx9JsFtqtUutryQOZiM25iMuZiMupTKx\nuwbbw8MDw4cPx65du9C1a1dUVFTgqaeegpeXF1QqFS5fvlznMZcvX4aPjw8AWK5uV1dX19rmxo0b\nTV88CUujcYePj6fSZTgVjcZd6RLoLpiN2JiPuJgNmdldgw3UDBPZsmUL1q1bh759+1quWvfs2RNf\nfvklZs+ebWmkr1+/jv3796Nfv34AAC8vL0iShOLiYnTs2BEAcPbsWZSWlipzMiQEg6ECJSXlSpfh\nFORYxp6aBrMRG/MRF7MRlzkbW7PLBjsyMhIPPfQQ8vLysHTpUsvtL730EuLj4zF9+nTExcWhsrIS\nq1atwq+//oo5c+YAAPr06QN3d3e88847eP7552E0GrF8+XK0bGn9WOqCMuP9NyLhFZQZ4VttQlUV\nXxRtqZo/c2ExG7ExH3ExGzKzywYbAB599FFcvXoVsbGxlttiYmKwdu1aLFu2DHPnzoWbmxuioqKQ\nlpaGLl26AKi5gr18+XIsXrwYiYmJ8Pf3R2JiIrZu3Wp1DcOXruG7VUFZczXBF+CMIURERCQblSRJ\nktJFNMQTTzyBgQMH4pVXXlG0jpKScr5bFZCrqwt8fDyZj4CYjbiYjdiYj7iYjbjM2dj8uDY/YiOU\nl5dj7dq1OHHiBC5cuICJEycqXRIRERERUS121WA3b94cGzZsgCRJSElJgb+/v9IlERERERHVYlcN\ntlqtRk5OjtJlWOh0Oo7BFkBwcAjc3NyULoOIiIgIgJ012KKZlZoFjV+g0mU4NUOxHosSwFUYiYiI\nSBh21WDv27cPu3fvRmpqKnJzczF58mR88skniIqKatR+8/PzkZmZiczMTKsep/ELRKuAoEYdm4iI\niIgci1012GvXrrUsIAOg1veN8fnnn+PMmTOy7IuIiIiInJsyC7QTERERETkou7mCPWnSJOh0OgBA\nUFAQ/vrXv0KSJBQUFGDlypX49ttv4eXlhTFjxuDFF1+Ei0vNe4eSkhIsW7YMBw4cwKVLl+Dp6Ymo\nqCi89tpr6NChA5KTk5GVlWXZb0pKCkaPHl2vmgzF+iY5V6o/Q7EeP/1U90OmjVm2lh+aJCIiosaw\nmwZ74cKFmDdvnuX7K1euAADeeecdzJo1CwkJCdi7dy9Wr16Ndu3aIS4uDgCQkJAAg8GApKQktGnT\nBj/99BOWLFmCBQsWYPXq1Zg9ezauXbuGH374AStWrEDHjh3rXVPv0xvhX+Qh/8mSVbx3euDKrrq/\njCluwL4KyozAgmX80CQRERE1mN002F26dIGnpydUKhVCQ0ORm5sLAJgyZQpmzJgBAIiOjsbevXtx\n9OhRxMXFWa5Yv/baa4iIiAAAREVFQa/X4/PPPwcAdOzYEa1atYKbmxtCQ0OtqmlgQFv09G0p41kS\nERERkb2zmwb7biIjI2v93d/fHwaDAQDQtm1brFu3DgBw8eJFnD9/HmfPnkV+fj4qKyttXSrZCbXa\nBa6u/HhCU1GrXWp9JXEwG7ExH3ExG3EplYldN9gqlQoeHh51bjOZ/jvmdvv27ViyZAl++eUXeHt7\no0ePHnB3d7d1qWRHNBp3+Ph4Kl2Gw9No+DwUFbMRG/MRF7MhM7tusO8nLy8Pr776KqZMmYKpU6ei\nTZs2AIC0tDTk5+crXB2JymCoQElJudJlOKzGfACVmhazERvzERezEZc5G1uzqwZbrVbXujp9P8eO\nHYMkSZgzZw68vLwAANXV1Th06FCt7cwzjliroMzYoMeRuArKjPCtNqGqii+QTa2aP2dhMRuxMR9x\nMRsys6sGW6PR4NixYzhy5AiMRiMkSbrn9uYPLb755psYO3YsSktLsX79epw+fRoAcOPGDXh4eECj\n0eDq1avIzs5GUFCQ5Ur3/QxfuobvVgXV0KsJvqiZpo+IiIiooeyqwY6Li8PJkyeRkJCAlJSUu67k\naL79kUcewRtvvIG1a9di9+7daN26Nfr06YPJkycjMTEReXl5GDhwIH73u98hOzsbc+bMwfPPP4/4\n+Ph61RMVFYWSknK+WxWQq6sLfHw8mQ8RERHZnEq632Vguic2cGJigy0uZiMuZiM25iMuZiMucza2\nxvlkiIiIiIhkZFdDRESj0+k4BltQjvCJbi7ZTkREZJ/YYDfCrNQsaPwClS6DHJChWI9FCeCS7URE\nRHbI4Rrs2NhYREdHIyUlpcmPpfELRKuAoCY/DhERERHZD47BJiIiIiKSERtsIiIiIiIZOWSDXVVV\nhbS0NPTv3x8RERGYNm0afv75Z8v9eXl5mDRpEsLDwxEdHY1XX30V165dU7BiIiIiInIUDjcGGwB2\n7tyJAQMGIDU1FZcvX0ZKSgpeeuklbNq0CTqdDs8++yz69euHDz74AKWlpfjggw8wZcoUbN682apZ\nGwzF+qY7CXJqNf+2uildBhERETWAQzbY7dq1Q0ZGBtRqNQDg/PnzWLlyJcrLy7F48WJ06dIFmZmZ\nlu3Dw8MxYsQIbNq0CRMmTKj3cXqf3gj/Ig/Z6yf7c9F4A8HxSejeXSvTHrtxyXYiIiI75ZANdmho\nqKW5BoCAgAAAgMFgwPHjxzF9+nRUV1db7vf398dDDz2Ew4cPW9VgDwxoi56+LeUrnOzWySul8O2u\n5bR6RERE5JgNtru7e62/u7jUDDX/5ZdfYDKZsHr1aqxatarWNiqVCh4evBpNDadWu8DV1SE/1iAr\ntdql1lcSB7MRG/MRF7MRl1KZOGSDfTdeXl5QqVR45plnMHLkyDr3N2/eXIGqyFFoNO7w8fFUugy7\nodG4338jUgSzERvzERezITOnarA9PT3Ro0cPnDt3DsHBwZbbb926heeffx6DBg1Cly5d6r2/gjJj\nU5RJdqigzAg/QwVKSsqVLkV4jrCMvaNiNmJjPuJiNuIyZ2NrTtVgA8BLL72EGTNmICkpCaNGjUJ1\ndTU++ugjnDhxAnPmzLFqX8OXruGTSVC2frHzBaDVBqOqiv8W6qu62sSfl6CYjdiYj7iYDZk5XIOt\nUqmgUqnuen+/fv3wl7/8BStWrMALL7yAZs2aITg4GOvWrUNoaKhVx4qKikJJSTmfTAJydXWBj48n\n8yEiIiKbU0mSJCldhD1jAycmNtjiYjbiYjZiYz7iYjbiMmdja/y4KxERERGRjBxuiIgt6XQ6jsEW\nlNIfOAkODrFqVVAiIiJyHGywG2FWahY0foFKl0GCMRTrsSgBXHSGiIjISbHBbgSNXyBaBQQppK/Z\nwwAAIABJREFUXQYRERERCcRpxmDHxsYiOTlZ6TKIiIiIyME5zRXsjIwMeHpylT0iIiIialpO02Br\ntVqlSyAiIiIiJ+A0DXZsbCyio6ORmJiIxx57DEuXLsUXX3yBgwcPolmzZhg6dChef/11NG/evN77\nNBTrm65gsluGYj1++qnuzCWcWYSIiMg5OE2D/VsLFizA2LFjkZGRgePHj2PJkiVo1aoVXnzxxXrv\no/fpjfAv8mjCKsleee/0wJVd//2IQ0GZEViwjDOLEBEROQGnbbAHDx6Ml19+GQDQp08fHDp0CPv3\n77eqwR4Y0BY9fVs2VYlEREREZIectsEOCwur9fd27dqhqKhIoWrIGajVLnB1dZqJe+5KrXap9ZXE\nwWzExnzExWzEpVQmTttgu7u71/q7i4sLTCauyEhNR6Nxh48PZ7Ix02jc778RKYLZiI35iIvZkJnT\nNthEtmYwVKCkpFzpMhSn9DL2dHfMRmzMR1zMRlzmbGyNDXYjFJQZlS6B7ERBmRG+1SZUVfGF16ya\nPw9hMRuxMR9xMRsyY4PdCMOXruG7VUGJdjXBFzXT9BEREZHjc5oGW6VSQaVSWb6/2zbWiIqKQklJ\nOd+tCsjV1QU+Pp7Mh4iIiGxOJUmSpHQR9owNnJjYYIuL2YiL2YiN+YiL2YjLnI2tcT4ZIiIiIiIZ\nOc0Qkaag0+mEGeNLtYk2BptqBAeHwNW1udJlEBERNSk22I0wKzULGr9ApcsgsguGYj0WJdR8doGI\niMiRscFuBI1fIFoFBCldBhEREREJhGOwiYiIiIhkxAabiIiIiEhGwjfYY8aMwZw5c2rd9thjjyE2\nNrbWbbNmzcL06dNx69YtLF68GMOGDUNISAh69eqFqVOn4tSpU5Ztr127hrlz56J///4IDQ3F6NGj\nsXXrVpucDxERERE5NuHHYA8aNAiffvopJEmCSqXCxYsXcfHiRcv3/v7+qKqqwtGjRzF37lzMmzcP\n+fn5mDt3Ljp27Ai9Xo8PPvgASUlJ2LFjBwBg3rx5KCkpwZtvvglPT09s27YNycnJ6NChAx555JF6\n12Yo1jfRWRM5nprnSzelyyAiImpydtFgr1y5EsePH0dYWBi++eYbPPjgg7h27Rp0Oh38/f2Rl5eH\niooK9OvXD//85z8xf/58DBs2DADQu3dvGI1GpKam4urVq2jdujV0Oh0SExMtV8Gjo6PRsmVLNGvW\nzKraep/eCP8iD9nPmagxLhpvIDg+Cd27a5Uu5Te6cbl4IiJyCsI32KGhoWjZsiUOHz5sabBjYmJQ\nWFiI3NxcjB49GtnZ2Xj44YcRGBiI1atXAwCKi4uh1+uh1+uxf/9+AEBlZSWAmoZ62bJl+Ne//oUB\nAwbg0Ucfxcsvv2x1bQMD2qKnb0v5TpZIBievlMKvRw9ERvZSupQ7Uqtdan0lcTAbsTEfcTEbcSmV\nifANtkqlwsCBA3H48GHMmjULR48exWuvvYb27dtj06ZNAICDBw9arkbn5OQgJSUFZ8+ehZeXF7Ra\nLdzd3QEA5lXhlyxZgszMTHzxxRfYs2cPVCoV+vbtizfffBMdOnRQ5kSJZKTRuCuyNKw1NBp3pUug\nu2A2YmM+4mI2ZCZ8gw0Ajz76KF599VWcOHECV69eRXR0NDp06IClS5fi2LFjOH36NN58800UFhYi\nMTERQ4YMwapVqxAQEAAAWL9+PQ4ePGjZn5eXF+bOnYu5c+dCr9fj66+/Rnp6Ot58802sXLlSqdMk\nko3BUIGSknKly7gjrrIpLmYjNuYjLmYjLnM2tmYXDfaAAQNgMpmQmZmJzp07o3Xr1mjZsiXc3d2R\nlpaGVq1aITw8HLt27UJlZSXi4+MtzTUAZGdnAwBMJhOKioowYcIEJCcnY9iwYQgMDMS0adPw3Xff\n4fz581bVVVBmlPU8ieRQUGaEb7UJVVViv8hX20GNzorZiI35iIvZkJldNNgtWrRAREQE9u7di6ef\nfhoAoFar0bt3b2RnZ2P06NEAgODgYKjVaqSlpWHq1KmorKzEli1bLA12RUUFunbtinbt2uHtt9+G\n0WhEp06dcOLECRw4cAAzZ860qq7hS9fw3aqgnPlqgi/ADxMSEREpyC4abKBmmEheXh6io6Mtt0VH\nRyMnJweDBw8GAHTq1Anvv/8+li9fjtmzZ8Pb2xvh4eH4+OOPMXnyZOTl5aFr165YsWIFFi9ejGXL\nlqGkpATt27fHc889h4SEBKtqioqKQklJOd+tCsjV1QU+Pp7Mh4iIiGxOJZk/+UcNwgZOTGywxcVs\nxMVsxMZ8xMVsxGXOxtY4nwwRERERkYzsZoiIiHQ6nVOO8bUHzjwGW3TMpq7g4BC4ubkpXQYREcmE\nDXYjzErNgsYvUOkyiMiOGYr1WJQARESIuTAQERFZzyka7H379mH37t1ITU2Vdb8av0C0CgiSdZ9E\nREREZN+cosFeu3YtVCqV0mUQERERkRPghxyJiIiIiGTk8A32pEmToNPpkJubi6CgIOh0Oly+fBnJ\nyckYNGgQwsLCMG7cOOzbt0/pUomIiIjIATj8EJGFCxdi3rx5lu99fX0xduxYuLu7Y+7cufD29kZW\nVhbmzJmDtLQ0jBw5st77NhTrm6hqInIWNa8j3ZQug4iIZOTwDXaXLl3g6ekJlUqF0NBQpKWlobS0\nFBs3bkS7du0AAAMHDkRpaSlSU1OtarB7n94I/yKPpiqdiO7iovEGguOT0L27VulSZNCNS9sTETkY\nh2+wf0un0yEiIsLSXJs9+eSTeO2111BQUIAuXbrUa18DA9qip2/LpiiTiO7h5JVS+HbXcmo7IiIS\nktM12GVlZejYsWOd2319fQEA169ft3VJRNQAarULXF0d/mMkNqVWu9T6SmJhPuJiNuJSKhOna7C9\nvb1x5cqVOrdfunQJAODj42PrkoioATQad/j4eCpdhkPSaNyVLoHugfmIi9mQmVM02Gq1GiZTzZLM\nUVFR+OSTT/Cf//wH7du3t2yzfft2+Pr64sEHH1SqTCKygsFQgZKScqXLcChcxl5szEdczEZc5mxs\nzSkabI1Gg2PHjuHIkSN45plnsG3bNjzzzDOYM2cOWrZsiaysLOTm5iIlJcWq/RaUGZuoYiK6l4Iy\nI3yrTaiq4n9kTaGaP1uhMR9xMRsyU0mSJCldRFM7evQokpOTceXKFaSkpCA8PByLFy/GoUOHUFlZ\nCa1WixkzZmDQoEFW7Ven0/HdqqB4NUFccmUTHBwCNzc3GSsjV1cX+Ph4oqSknE2CgJiPuJiNuMzZ\n2JpTNNhNiU8mMfHFTlzMRlzMRmzMR1zMRlxKNdj8uCsRERERkYzYYBMRERERycgpPuTYVDgGW1wc\ngy0uZtP0OD6diEhZbLAbYVZqFjR+gUqXQURkYSjWY1ECuMolEZGC2GDfJjY2FtHR0fWerk/jF4hW\nAUFNXBURERER2RM22LfJyMiApydXhiMiIiKihmODfRutVqt0CURERERk59hg38baISKGYn3TFkRE\nZKWa16VuSpdBROTU2GA3Qu/TG+Ff5KF0GUTUABeNNxAcn4Tu3R3tN1fdEBwconQRREROjQ12IwwM\naIuevi2VLoOIGuDklVL4dtdytg0iIpIdG2wiclpqtQtcXbnelpla7VLrK4mF+YiL2YhLqUzYYBOR\n09Jo3OHjw5mDfkujcVe6BLoH5iMuZkNmbLCJyGkZDBUoKSlXugxhcJVNsTEfcTEbcZmzsTU22I1Q\nUGZUugQiaqCCMiN8q02oquJ/hr9VzZ+L0JiPuJgNmbHBboThS9fw3aqgeDVBXKJk4wtwtg0iImoS\nbLBvo1KpoFKp6r19VFQUSkrK+W5VQK6uLvDx8WQ+AmI2RETk6Nhg3+brr79WugQiIiIisnOcT4aI\niIiISEa8gt0IOp1O8XGkdGeijPOVS3BwCNzc3JQug4iIiOqBDXYjzErNgsYvUOkyyMEZivVYlACu\nOEhERGQn2GADqK6uxuuvv46vvvoKKpUKGRkZeOSRR+77OI1fIFoFBNmgQiIiIiKyF2ywAeTk5GDr\n1q1ITExETEwMevTooXRJRERERGSn2GADKCkpgUqlwpgxY+Dv7690OURERERkx5xiFhGTyYTPPvsM\no0aNQlhYGAYPHozFixejsrISycnJSE5OBgA89thjmDx5ssLVEhEREZE9c4or2PPnz8f27duRkJCA\n3r1744cffkB6ejp+/PFHLFiwAO3atcPKlSuxYsUKBAYG1nu/hmJ9k9VMZGYo1uOnn+x/JhQze5jh\nhbO2EBFRYzh8g11QUIDNmzcjKSkJ06dPBwDExMSgTZs2eOWVV3Du3Dl06tQJABAUFIQOHTrUe9+9\nT2+Ef5FHk9RNdDvvnR64sstxfuFUrHQB91BQZgQWLOOsLURE1GAO32Dn5uZCpVLhiSeeqHX7E088\ngeTkZOTm5qJLly4N2vfAgLbo6dtSjjKJiIiIyEE4fINdVlYGAPD19a11u1qtho+PDwwGgxJlEZHA\n1GoXuLo6zm8M6kutdqn1lcTCfMTFbMSlVCYO32B7e3sDAK5cuYL27dtbbq+qqkJJSQl8fHyUKo2I\nBKXRuMPHx1PpMhSj0bgrXQLdA/MRF7MhM4dvsB955BFIkoQdO3YgPj7ecvuOHTtgMpnQq1cvXL16\ntUH7LigzylUmEQmioMwIP0MFSkrKlS7F5uzhA6jOjPmIi9mIy5yNrTl8g92lSxeMGTMGy5YtQ0VF\nBaKioiyziPTp0wcDBw5EVlZWg/Y9fOkaPpkExRc7cYmejS8ArTYYVVXi1WYr1dUmpz5/0TEfcTEb\nMnP4BhsAFi1ahMDAQGzevBmrV6+Gn58fpkyZgtmzZzdqv1FRUSgpKeeTSUCuri7w8fFkPgJiNkRE\n5OhUkiRJShdhz9gkiIlNnLiYjbiYjdiYj7iYjbjM2dgaP+5KRERERCQjpxgi0lR0Op2w40idnejj\nfJ0Zs6k/rihJRGSf2GA3wqzULGj8ApUug4gckKFYj0UJ4IqSRER2iA12I2j8AtEqIEjpMoiIiIhI\nIByDTUREREQkIzbYREREREQyYoNNRERERCQjpx2DfevWLaSnp2PPnj0oKiqCm5sbwsLC8PLLL0Or\n1dZrH4ZifdMWSUROq+b1pZvSZRARUQM4bYM9b9485OfnY+7cuejYsSP0ej0++OADJCUlYceOHfXa\nR+/TG+Ff5NHElRKRki4abyA4Pgndu9fvjbd8uiE4OMTGxyQiIjk4ZYP966+/oqKiAvPnz8ewYcMA\nAL1794bRaERqaiquXr2K1q1b33c/AwPaoqdvy6Yul4gUdPJKKXy7azldHhER1ZtTNtjNmjXD6tWr\nAQDFxcXQ6/XQ6/XYv38/AKCyslLJ8ohIMGq1C1xdHf8jK2q1S62vJBbmIy5mIy6lMnHKBhsAcnJy\nkJKSgrNnz8LLywtarRbu7u4AAEmSFK6OiESi0bjDx8dT6TJsRqNxV7oEugfmIy5mQ2ZO2WAXFhYi\nMTERQ4YMwapVqxAQEAAAWL9+PQ4ePKhwdUQkGoOhAiUl5UqX0eS4jL3YmI+4mI24zNnYmlM22CdP\nnkRlZSXi4+MtzTUAZGdnAwBMpvo9OQrKjE1SHxGJo6DMCN9qE6qqnOc/zWonO197w3zExWzIzCkb\n7ODgYKjVaqSlpWHq1KmorKzEli1bLA12RUVFvfYzfOkavlsVFK8miMvesvEFOJsHERFZxSkb7E6d\nOuH999/H8uXLMXv2bHh7eyM8PBwff/wxJk+ejLy8PHTt2vW++4mKikJJSTnfrQrI1dUFPj6ezEdA\nzIaIiBydUzbYADB06FAMHTq0zu0//PCDAtUQERERkaPgfDJERERERDJy2ivYctDpdHYzjtTZ2Ns4\nX2fCbMTFbMTGfMTl7NkEB4fAzc1N6TKEwga7EWalZkHjF6h0GURERESKMBTrsSgBXO32N9hg/5/Y\n2FhER0cjJSWl3o/R+AWiVUBQE1ZFRERERPaGY7CJiIiIiGTEBpuIiIiISEZ21WDfunULixcvxrBh\nwxASEoJevXph6tSpOHXqFAAgOTkZzz77LLZs2WLZZvTo0cjJyam1n1OnTuHZZ59FREQEYmNj8Y9/\n/EOJ0yEiIiIiB2RXY7DnzZuH/Px8zJ07Fx07doRer8cHH3yApKQk7NixA0DNMuiXL1/GCy+8AC8v\nLyxduhTPP/88srOz0aJFCxQXF2PSpEno3Lkz3n//fRgMBrz33nu4evWq1fUYivUynyERERGR/ajp\nhbopXYZw7KbB/vXXX1FRUYH58+dj2LBhAIDevXvDaDQiNTXV0iAbjUZkZWUhICAAAODu7o6JEyfi\nyJEjGDJkCNatW4eqqiqsXr0a3t7eAIDOnTtj/PjxVtfU+/RG+Bd5yHSGRETkbC4abyA4Pgndu2vv\nu62zTwUnMufOphuCg0OULkI4dtNgN2vWDKtXrwYAFBcXQ6/XQ6/XY//+/QCAyspKAECrVq0szTUA\n+Pn5AQBu3LgBAMjPz0dkZKSluQaA0NBQdOjQweqaBga0RU/flg07ISIicnonr5TCr0cPREbef4oz\n527ixMZsxKVWKzMa2m4abADIyclBSkoKzp49Cy8vL2i1Wri7uwMAJEkCADRv3rzWY1xcXGrdX1pa\nWqsBN2vTpk1Tlk5ERHRHGo07fHw8rdqexMRsyMxuGuzCwkIkJiZiyJAhWLVqlaVJXr9+PQ4ePFjv\n/fj4+NxxvHVpaalstRIREdWXwVCBkpLy+27Hq6TiYjbiMmdja3bTYJ88eRKVlZWIj4+vdQU6Ozsb\nAGAy1e8fdExMDD766CNcunQJbdu2BQCcOXMGhYWFiIyMtKqmgjKjVdsTERHdrqDMCN9qE6qq6t+U\nVVu5PdkOsyEzu2mwg4ODoVarkZaWhqlTp6KyshJbtmzBgQMHAAAVFRX12s+UKVOwefNmTJs2Dc89\n9xyqqqqwdOlSuLm5WV3T8KVr+G5VULyaIC5mIy5mY3u+AD8gRuSA7KbB7tSpE95//30sX74cs2fP\nhre3N8LDw/HJJ59g8uTJyMvLu+tjVSqV5fuWLVti/fr1WLRoEZKTk+Hh4YHp06dj165dVtcUFRWF\nkpJyvlsVkKurC3x8PJmPgJiNuJgNEZE8VJL503/UIPyPSExsFMTFbMTFbMTGfMTFbMRlzsbW7Gol\nRyIiIiIi0dnNEBER6XQ6jlUUFMeSiovZiIvZiM2R8gkODmnQZ5+I7AUb7EaYlZoFjV+g0mUQERHZ\nDUOxHosSgIiI+y+uQ2Sv7L7B3rdvH3bv3o3U1FTk5uZi8uTJ+OSTTxAVFdXkx9b4BaJVQFCTH4eI\niIiI7IfdN9hr166tNUvI7d8TEREREdkaP+RIRERERCQju26wJ02aBJ1Oh9zcXAQF1QzVkCQJBQUF\nmDZtGsLDw9G/f38sXry41kqPkiRh1apVGDp0KEJCQjBs2DB8+umnSp0GERERETkQux4isnDhQsyb\nN8/y/ZUrVwAA77zzDmbNmoWEhATs3bsXq1evRrt27RAXFwcAWLBgAbKysjBz5kxEREQgNzcXixYt\nwvXr1zFr1qx6H99QrJf9nIiIiByZoViPn36y71lQfsuRZnixN6LOSGPXDXaXLl3g6ekJlUqF0NBQ\n5ObmAqhZDn3GjBkAgOjoaOzduxdHjx5FXFwczp07h88//xxJSUmYNm0aAKBv375QqVTIzMzEhAkT\n4O3tXa/j9z69Ef5FHk1zckRERA7Ke6cHruyy61+i11GsdAFOqKDMCCxYJuSMNHbdYN9NZGRkrb/7\n+/vDYDAAAI4cOQIAGDRoEKqrqy3bDB48GB9++CHy8vLw2GOP1es4AwPaoqdvS5mqJiIiIiJH4HAN\ntkqlgoeHR53bzGOwy8rKIEkSnnjiiTs+9tKlSzapk4iIiIgaR612gavr3X8bolYr85sSh2uw76dF\nixZQqVT4+OOP6zTiANC+fXsFqiIiIiIia2k07vDx8VS6jDrsvsFWq9W1Zgi5n0ceeQQAcO3atVqL\n0Rw4cACffvopkpOT0apVK9nrJCIiIiJ5GQwVKCkpv+v95g+g2prdN9gajQbHjh3DkSNHYDQaIUnS\nPbfv2rUrRo0ahfnz5+PChQvo2bMnzp49i6VLl6Jjx47o3LlzvY9dUGZsbPlERERE1AAFZUb4VptQ\nVSXezC1232DHxcXh5MmTSEhIQEpKyl1Xcrz99nfeeQeZmZnYsGEDli5dCl9fX4wcORJ/+tOfrFoJ\ncvjSNZySR1CcMklczEZczEZszEdczEYZvqiZpk9EKul+l3zpnkpKyoV85+TsXF1d4OPjyXwExGzE\nxWzExnzExWzEZc7G1hxrEkoiIiIiIoWxwSYiIiIikhEbbCIiIiIiGbHBJiIiIiKSERtsIiIiIiIZ\nscEmIiIiIpIRG2wiIiIiIhmxwSYiIiIikhEbbCIiIiIiGbHBJiIiIiKSERtsIiIiIiIZqSRJkpQu\ngoiIiIjIUfAKNhERERGRjNhgExERERHJiA02EREREZGM2GATEREREcmIDTYRERERkYzYYBMRERER\nyYgNNhERERGRjNhgExERERHJiA02EREREZGMnLrBLi0txVtvvYXY2FiEhYXhqaeewubNm+v1WJPJ\nhHXr1mHEiBEICwtDbGwslixZglu3bsl6HGdmq3xu9/3336NHjx745ptv5DgFh2WrbE6fPo3nn38e\nMTEx6NmzJ2JjY/H222/j+vXrcp+Sw7BVNoWFhXjppZcwcOBAREREYPz48dixY4fcp+NwlHhdM5lM\nmDBhArRaLUwmkxyn4ZBslc2rr74KrVZb509QUBC2bt0q92k5BFtlI0kSPv30Uzz11FMICwvDoEGD\nkJycjEuXLllds3rhwoULrX6UA6ioqMCUKVOQk5OD3/3ud3jyySdx8eJF/PWvf4Wbmxt69ep1z8cv\nWLAAmZmZiI6OxoQJE+Du7o5PPvkEJ0+exJNPPinbcZyVrfK5nV6vx/Tp03Hjxg089dRT6NixY1Oc\nmt2zVTbnzp3DuHHj8Msvv+CPf/wjRo4cCbVajc8//xz79+/HmDFj0KxZs6Y+Xbtiq2yKiorw+9//\nHj///DMmTJiAxx9/HOfOncO6dev4unYPSryuAUBGRga2bdsGlUqFOXPmQKVSyX1qds+W2WRkZMDd\n3R3z58/HkCFDMHToUAwdOhRDhgxBr169oNFomvJU7Y4ts3nllVewevVqREZGYuLEifD19cWmTZuw\nd+9ejBkzBm5ubvUvXHJSmZmZklarlXbu3Fnr9qlTp0ohISHSL7/8ctfHfv/991L37t2lN954o9bt\nGRkZklarlXbt2iXLcZyZrfIx27Nnj/TII49IWq1W0mq10uHDh+U5EQdkq2yeffZZKSQkRDp79myt\nbT/++GOpe/fuUmZmpgxn41hslc1LL70kBQUFScePH7fcVl1dLY0ZM0YKCwuTDAaDTGfkWGz9umZ+\nXHBwsBQaGipptVqpurq68SfigGyVTVVVlRQSEiIlJSXJewIOzFbZ7NmzR+revbv01ltv1do2KytL\n0mq10urVq62q22mHiGzbtg1t2rTBiBEjat0+bdo0VFZW4h//+MddH7tlyxaoVCo888wztW5/5pln\n4Orqii1btshyHGdmq3wAICEhAc899xzatm2LJ554QrZzcFS2yKayshJ5eXmIiopC586da207evRo\nAIBOp5PhbByLrZ43arUasbGxCAkJsdzm4uKC6Oho3Lp1CwUFBfKckIOx5esaANy4cQPz5s3DgAED\nEBoaKss5OCpbZXPu3DlUVlaia9eustbvyGyVzd/+9jd4eXnhpZdeqrXtiBEjkJCQgMDAQKvqdsoG\n22g04uzZs3d8wTHfdvz48bs+/vjx42jRokWd//jd3d3RtWtXfP/997Icx1nZKh8zvV6PuXPnYsuW\nLVY/gZyNrbJp1qwZvvjiC9xpBNuVK1cA1DR59F+2fN68++67SE9Pr7OPH374ASqVCu3bt2/oaTgs\nW7+uAcCf//xnGI1GvP32242s3rHZMptTp05BpVKhW7duAICbN29yXPw92Cobk8mEb7/9Fr169YKH\nhwcA4NatW/j111/h5uaGF198EY8//rhVtTtlg11cXAxJktCuXbs693l5ecHT0xMXLly46+N/+eWX\nOz4WAPz8/GAwGGA0Ght9HGdlq3zMdu7cifj4eI7nrQdbZaNSqRAQEHDHcfCrVq2CSqVCnz59Gn4i\nDsjWzxszo9GIEydO4JVXXkFubi7i4uLg5+fX8BNxULbOZ8+ePdiyZQv+/Oc/o1WrVo0/AQdmy2xO\nnToFAPjnP/+J2NhYhIeHIywsDHPmzEFhYaEMZ+NYbJXNhQsXcOvWLQQEBOCrr77Ck08+ibCwMISH\nh2PatGk4d+6c1bU7ZYNtnoHA09Pzjve7u7vjxo0b93y8+R3OnR4L1AzKb+xxnJWt8jFjY11/ts7m\nt7Zs2YKsrCy0b98e48ePr2/ZTkGpbObNm4dx48Zh+/btCAsLw+zZs60t3SnYMp/i4mLMnz8f48eP\nx+DBgxtTtlOwZTY//fQTgJoZq+bMmYP09HRMnjwZ2dnZ+MMf/sCLbr9hq2zKysoAAIcPH8a8efPw\n+OOPY8WKFZg9ezby8/Pxxz/+ERcvXrSqdlertnYQkiTd9/57/fr5Xo8336dWqxt9HGdlq3zIekpm\ns2nTJixYsACenp5Yvnz5XV80nZVS2YwfPx7jxo3DiRMnsHbtWjz11FP47LPPOAvPb9gyn1deeQUt\nW7ZEcnJyAyp1PrbMZtSoUQgLC8OMGTMsF3cef/xxhIeH47nnnsP777+P999/39pTcFi2yqayshJA\nzZDRFStWIDY2FgDw2GOPITg4GDNnzsQHH3yAd999t961O2WDbX4ndLcrZRUVFff8z8HT0xM3b968\n62OB//7qojHHcVa2yoesp1Q2y5YtQ0ZGBjQaDVauXIng4GBrS3d4SmVjvkIaGxuL4ODERYc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vX391uNTfS3CUKI65dksIUQwgZvb29aW1vp6uqyymL/8MMPALpxVVVt/iLiTz/9BMDMmTMBePvt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\nhRBCCCGEmED/AYVunuGOxwBdAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x121cb84a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "KL Divergence (Treasure Island || Huckleberry Finn) =  0.2872178152678771\n",
      "KL Divergence (Huckleberry Finn || Treasure Island) =  0.4882870390053065\n"
     ]
    }
   ],
   "source": [
    "compute_KL_Divergences()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def count_Morse_symbols(text):\n",
    "    num_symbols = 0\n",
    "    MC_counts = { 'a':2, 'b':4, 'c':5, 'd':3, 'e':1, 'f':4, 'g':3, 'h':4, 'i':2,\n",
    "                  'j':4, 'k':3, 'l':4, 'm':2, 'n':2, 'o':3, 'p':4, 'q':4, 'r':3,\n",
    "                  's':3, 't':1, 'u':3, 'v':4, 'w':3, 'x':4, 'y':4, 'z':4 }\n",
    "    for ch in text:\n",
    "        if ch in MC_counts:\n",
    "            num_symbols += MC_counts[ch]\n",
    "    return num_symbols"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "letters in Treasure Island:  338202\n",
      "Morse Code symbols in Treasure Island:  707170\n"
     ]
    }
   ],
   "source": [
    "TI_text = get_book_text(Treasure_Island_path )\n",
    "print(\"letters in Treasure Island: \",len(TI_text))\n",
    "print(\"Morse Code symbols in Treasure Island: \",count_Morse_symbols(TI_text))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.0"
  }
 },
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